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Circles Geometry Test
Draw a circle of radius 2 cm. It has two points on the outside edge of the circle. Based on explorations and using concrete models, the student formulates and tests conjectures about the properties and attributes of circles and the lines that intersect them. About This Test The Praxis Geometry test is designed to assess the mathematical knowledge and competencies necessary for a beginning Geometry teacher. Select one of the links below to get started. Page updated : 12 April 2018. Infinite Geometry. Multiple-Choice Test Item Read the Test Item You are given a figure that involves a right triangle and a circle. The online math tests and quizzes on finding points and angles on the unit circle. Suppose D is the midpoint of segment AC and E is the midpoint of segment BC. Choose a topic below and check back often for new topics and features! Classifying Angles Classifying Triangles by Their Angles More Worksheets. Unlike polygons, all circles are the same shape and vary only in size. Welcome to Geometry Chapter 10 geometry circles test. Printable in convenient PDF format. For example, in Euclidean geometry, two triangles are congruent i there is. O is the centre of this circle and point T is a point of tangency. Geometry Unit 10 Answer Key Section 10. A circle is simply a figure defined by all the points that are equidistant from a given center point. Take one of our many Common Core: High School - Geometry practice tests for a run-through of commonly asked questions. 5 feet tall, 1 foot wide, and 2 feet deep. Title: PC1105806_GeoTB_PT. Free student math practice. You will receive incredibly detailed scoring results at the end of your Advanced Geometry practice test to help you identify your strengths and weaknesses. Students learn to recognize and work with geometric concepts in various contexts. Geometry games, videos, word problems, manipulatives and more. they have the same center b. the geometry of color perception. NCDPI North Carolina Test of Geometry. The Mathematical Sciences Research Institute (MSRI) established the National Association of Math Circles (NAMC) in 2007 to nurture the growth of Math Circles by: Seeding the creation of additional Math Circles in the United States;. Visual Geometry Test. Welcome to McDougal Littell's Test Practice site. Choose "Test Mode" to see answers after your test is scored. They build on ideas of inductive and deductive reasoning, logic, concepts, and techniques of Euclidean plane and solid geometry and develop an understanding of mathematical structure, method, and applications of Euclidean plane and solid geometry. Geometry Circle Test Review 1. This is a maze composed of 11 circles that students must use the properties of circles to find missing angles and lengths. Determine the value of x°. IXL will track your score, and the questions will automatically increase in difficulty as you improve!. Find the distance that a person can see on a clear day from 15 km above Earth. A line or segment that is tangent to two coplanar circles is called a common tangent. ©n Z2j0 41E2 w XK2uht taL GSbo dfKtvw ja5rpeD NLFLIC O. The perimeter of a shape is defined as the distance around the shape. The answers are given in the next section. Though triangles are far and away the most common geometric shape on the SAT, make sure not to underestimate the importance of circles. A circle is the set of all points in a plane equidistant from a given point called the center of the circle. Start with the first set of numbers: 3, 13, and 14. Circles and Arcs. Circle Geometry Unit Test Instructions: You will have 40 minutes to complete the exam. Here is a graphic preview for all of the Transformations Worksheets. Geometry Review worksheet 2 Author: T. Geometry is one of the first topics where basic arithmetic is applied to more advanced mathematical concepts. A polygon inscribed in a circle or a circle inscribed in a polygon are two common combinations you'll see on the GRE. The Math Forum has a rich history as an online hub for the mathematics education community. You will receive incredibly detailed scoring results at the end of your Common Core: High School - Geometry practice test to help you identify your strengths and weaknesses. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Andrea Grieser deleted the Kuta Geo 11. Determine the value of x°. d = 37° ____ 2. Placement Test Practice Problems Book II Geometry, Trigonometry, and Statistics Eric Key, University of Wisconsin-Milwaukee David Ruszkiewicz, Milwaukee Area Technical College This material is based upon work supported by the National Science Foundation under Grant No. The transformation group supplies two essential ingredients. Geometry games, videos, word problems, manipulatives and more. A polygon inscribed in a circle or a circle inscribed in a polygon are two common combinations you'll see on the GRE. Free math lessons and math homework help from basic math to algebra, geometry and beyond. GEOMETRY B: CIRCLE TEST PRACTICE Multiple Choice Identify the choice that best completes the statement or answers the question. they have the same center b. Properties of circles are used to solve problems involving arcs, angles, sectors, chords, tangents, and secants. Test and improve your knowledge of Basic Geometry: Circles with fun multiple choice exams you can take online with Study. Solve right triangles. They include. Search this site. If x is half the length of AB, r is the radius of the small circle and R the radius of the large circle then by Pythagora's theorem we have: r 2 + x 2 = R 2 6 2 + x 2 = 10 2 Solve for x: x = 8 Length of AB = 2x = 16. Start studying Geometry Unit Test: Circles. Geometry is the mathematics of shape and space. 1 and PA = 13. Geometry and Mensuration. The distance is called the radius , and twice the radius is called the diameter. Auto Grading & Detailed Reporting. # 30 10 A T. Geometry Review For Test On Chapter 10 On Circles Geometry Circles Review Worksheet Online #64048 free to use, Geometry Circles: Test Review Name Key Moody 1. This GED practice test is specifically designed to test your geometry math skills and knowledge. A Guide to Circle Geometry Teaching Approach In Paper 2, Euclidean Geometry should comprise 35 marks of a total of 150 in Grade 11 and 40 out of 150 in Grade 12. Or Prove that Perimeter of the triangle is greater than the sum of the three altitudes. 5 Segment length. Find the total length of wrought iron used to make the structure. Here is a graphic preview for all of the Geometry Worksheets Sections. Draw a circle of radius 2 cm. Circumscribed Circles. They will benefit you either way. 12 Equations of Circles. All comments will be approved before they are posted. Please review the questions after answering all the questions. Geometry Practice Test 2. This site offers multiple interactive quizzes and tests to improve your test-taking skills. 5 Derive using similarity the fact that the length of the arc intercepted by an. FE is tangent to circle P at point E. Test Item Specifications (The Specifications are a resource that defines the content and format of the Geometry EOC. The portion is determined by the size of its corresponding central angle. Introduction to Circles. Welcome to Geometry Chapter 10 geometry circles test. Who should use this book? This book is intended for use by a parent (or a teacher) and a child. This GED practice test is specifically designed to test your geometry math skills and knowledge. 6 Find each perimeter in terms of Pi: 1. On the other hand, the links below will take you to practice questions that test a wide variety of questions under the general topic of Geometry. Geometry Test Practice. NY Regents Geometry Math test prep books and practice questions are not enough, and classes and tutors are too expensive. Unit seven is about circles. Draw a line between the two points. If necessary, round your answer to the nearest tenth. Based on explorations and using concrete models, the student formulates and tests conjectures about the properties and attributes of circles and the lines that intersect them. Geometry Worksheets Transformations Worksheets. Geometry SOL Practice G. Geometry worksheets: the circumference of circles. Play Pixel Speed Ball Games. Circles, sectors and arcs - Edexcel. Homewood-Flossmoor High School Math & Science teachers have created video review lessons to help students study for Final Exams. Many of the topics include source code illustrating how to solve various geometric problems, or to assist others recreating the geometric forms presented. The unit concludes with a Unit Review and a Unit Test and we also give you a Mid-term and a Final Review and Test. Areas Geometry. The diameter of the circle is twice the radius. The Math Test is a chance to show that you: Carry out procedures flexibly, accurately, efficiently, and strategically. To determine which choice is correct, test each set of values by substituting them into the Pythagorean Theorem. Test your skills with this plane geometry practice exam. Students examine how central, inscribed, and circumscribed angles relate to chords, radii, and arcs of the circles. The unit concludes with a Unit Review and a Unit Test and we also give you a Mid-term and a Final Review and Test. 5 feet tall, 1 foot wide, and 2 feet deep. When you are finished, submit this test to your teacher by the due date for full credit. abilities and their personality in the form of a psychometric test. Pearson Prentice Hall Geometry Chapter 12 Page 2 of 2 Prentice Hall Geometry Chapter 12 Circles Vocabulary 12-1 tangent to a circle point of tangency congruent circles concentric circles tangent circles common internal tangent common external tangent 12-2 chord 12-3 inscribed angle intercepted arc 12-4 secant 12-5. They include. 12A Apply theorems about circles, including relationships among angles, radii, chords, tangents, and secants, to solve non-contextual problems. Find its radius. This site offers multiple interactive quizzes and tests to improve your test-taking skills. Although I have found other compasses that I do like, they are not readily available. Geometry Test Practice. The following is a dictionary of various topics in geometry the author has explored or simply documented over the years. This part includes finding arc length and sector area. The previous pages have explained three very different methods for defining a color: (1) the measurement of the color stimulus as a spectral emittance or reflectance curve in colorimetry; (2) the proportional responses to the stimulus by the L, M and S cones, represented as a chromaticity diagram; and (3) the subjective description of the color sensation in. A similar process can also be used to find a line perpendicular to an-other line through a given point. Geometry comes from the Greek meaning ‘earth measurement’ and is the visual study of shapes, sizes and patterns, and how they fit together in space. Use our free Geometry practice test questions to make sure you're prepared. To Check 10. Whether you are studying for a school exam or just looking to challenge your geometry skills, this test will help you assess your knowledge. Watch the best videos and ask and answer questions in 46 topics and 11 chapters in Geometry. Learn vocabulary, terms, and more with flashcards, games, and other study tools. All worksheets are free for individual and non-commercial use. This distance is called the radius of the circle. Congruent circles have the same center point. Can you name the definitions related to circles? Test your knowledge on this miscellaneous quiz to see how you do and compare your score to others. Find the total length of wrought iron used to make the structure. Don't fail your exam due to Geometry questions. A sector of a circle is a region bounded by two radii and. (2) (3) Find the length of the arc of a sector of 54 ° in a circle if the radius is 10. When you finish, look over your test to make sure you answered all the questions. Given a point on the unit circle, find the 6 trig ratios relative to the angle formed. Grade 6 > Geometry > Area and circumference of a circle. You can select different variables to customize these Geometry Worksheets for your needs. What is the circumference of the circle if the segment OD measures 2 cm? 12. CC Geometry. The converse is also true; that is, if a line is perpendicular to a radius at its endpoint on the circle, then the line is a tangent to the circle at that endpoint. Watch “Geometry of Circles,” the Abstract Sesame Street Animation Scored by Philip Glass (1979) in Animation, Music, Television | January 31st, 2017 1 Comment. High School Geometry Test Sampler Math Common Core Sampler Test Our High School Geometry sampler covers the twenty most common questions that we see targeted for this level. Geometry U. It takes some time to learn all the rules, but once you know them, there isn't much that the test can keep hidden. There are four main things you need to know about circles to tackle any ACT Math question. Good test takers understand the importance of knowing as much about a test as possible. INTRODUCTION I wanted to make a list of the hardest demons, but with something unique to all the other lists out there. The Geometry of Circles Definitions and formulas for the radius of a circle, the diameter of a circle, the circumference (perimeter) of a circle, the area of a circle, the chord of a circle, arc and the arc length of a circle, sector and the area of the sector of a circle. Find the perimeter around the Find the perimeter around the outside of the figure. Select one of the links below to get started. In a circle, a radius is the same length of a radius in a congruent circle. Properties of circles are used to solve problems involving arcs, angles, sectors, chords, tangents, and secants. Theorems on Circles and Triangles including a proof of the Pythagoras Theorem. A line that joins two points on the circumference of a circle but does not pass through the centre is called a. Geometry U. Angles in a circle An inscribed angle is an angle ABC formed by points A, B, and C on the circle's circumference. Questions 1 and 2: Triangle ABC in the figure below is inscribed in circle C of center O. The radius (r) of that circle is half of the dimension shown as the width of the track, or 15 yards. 14) 16 12 8 B A 15) 11. Basic information about circles A circle is all points in the same plane that lie at an equal distance from a center point. arithmetic and geometry. High school geometry lays the foundation for all higher math, and these thought-provoking worksheets cover everything from the basics through coordinate geometry and trigonometry, in addition to logic problems, so students will be fully prepared for whatever higher math they pursue!. No calculators. ) The mathematics of the Egyptians and the Babylonians was essentially empirical in nature. Displaying GEOMETRY CIRCLES TEST REVIEW. In the figure below AF=AE, thus from the property BG=DC. Students learn to recognize and work with geometric concepts in various contexts. Test and improve your knowledge of Glencoe Geometry Chapter 10: Circles with fun multiple choice exams you can take online with Study. Greek geometry was based on the constructions of straight lines and circles, using a straight edge and compasses, which naturally gave circles a central place in their geometry. This is a maze composed of 11 circles that students must use the properties of circles to find missing angles and lengths. Geometry Circle Test Review 1. Geometry Unit 10 – Notes. What is m? Example 2: In the diagram of circle O below, chord ̅̅̅̅is parallel to diameter ̅̅̅̅̅̅and m = 100. Unit X Test; Test Review ; Day 17: Six Weeks Test. The Geometry materials on this page are a collection of on-line resources designed to be used by students and teachers (parents) in the study and review of a first course in high school geometry. Form H RELEASED Fall 2009 Page 2 Go to next page 5. IXL will track your score, and the questions will automatically increase in difficulty as you improve!. Geometry Circles Test study guide by erynnkriebel includes 13 questions covering vocabulary, terms and more. Multiple Choice Angle A is an obtuse angle for which measure(s)?. Geometry Chapter 9 Test Review Name _ Date_ 1. usa Review this Congruent Similar Shape Shoot Geometry arcade game--tell us what you. Unit 8 - Circles. ©b O2B0j1 42k hKXuSt xa4 WShoAf7t Tw3afrXeW 9LhLHCV. Improve your math knowledge with free questions in "Parts of a circle" and thousands of other math skills. Geometry worksheets: the circumference of circles. The faces of a rectangular prism are rectangles. Multiple Choice Angle A is an obtuse angle for which measure(s)?. 6 6 0Mwa8d KeL owqipteho JI hn Uffi En jijt geq 3P urMeT-ZA 4l 1g meLb drHa1. Welcome to McDougal Littell's Test Practice site. I could envision an Integrated Math II or III course in which one covers circles -- their circumferences, areas, tangent lines, inscribed angles, and equations, and then segue from there to the equations of the other conic sections. Pen and paper repetition is the best way to get this right. "Geometry Dash is a fast-paced platformer that will leave you screaming in frustration, but you’ll keep coming back for more. pdf), Text File (. [This Delta Math Review Assignment counts as a 50 pt Assessment. The best ebook collections associates with geometry chapter 10 circles test. Multiple-Choice Test Item Read the Test Item You are given a figure that involves a right triangle and a circle. Unlike polygons, all circles are the same shape and vary only in size. The Distance Between two Points. 5 Derive using similarity the fact that the length of the arc intercepted by an. Geometry Help and Problems. Circles covers terms and formulas, including central and inscribed angles, and the relationships between tangents, arcs, secants, chords and circumference. What is the circumference of the circle if the segment OD measures 2 cm? 12. Using 1-mm axial slices, high-resolution computed tomographic angiograms from 10 normal aortic roots were used to generate high-density X-, Y-, and Z-coordinates of valve. Sure, solving triangles and writing proofs might not be part of your day-to-day activities, but geometry is everywhere you look. Geometry and Measurement Test 4 Geoff Chandler Fourth Grade Mathematics 6 Test. MTH203B/204B Geometry | Unit 4 | Lesson 16: Circles Unit Test Date: Graded Assignment Unit Test, Part 2 Answer the questions below. 8 Homework go to the blog labeled 1/8/2017 Study Guide: Relationships between center, diameter, radius, and circumference; Relationship between chords, arcs, diameters, and radii ; Relationship between angles and their intercepted arcs (vertex on inside, outside, or on the circle). There is a specific learning objective associated with each lesson. If you know how to answer all the questions on this test, then you have a solid understanding of the most important concepts in basic geometry Want a solution to this test? Add to your shopping cart and purchase a Detailed 11 PAGES SOLUTION and TOP-NOTCH EXPLANATIONS with PayPal. Charities we Support. usa Review this Congruent Similar Shape Shoot Geometry arcade game--tell us what you. You can select different variables to customize these Transformations Worksheets for your needs. Euclidean Geometry Circles. GEOMETRY 41201 5 SECTION I Directions: Today you will be taking the Geometry End-of-Course Test. 2 Name_____ Period _____ All constructions done today will be with Compass and Straight-Edge ONLY. What is m? Example 2: In the diagram of circle O below, chord ̅̅̅̅is parallel to diameter ̅̅̅̅̅̅and m = 100. A circle is all points in the same plane that lie at an equal distance from a center point. GSE Analytic Geometry • Unit 3 Mathematics GSE Analytic Geometry Unit 3: Circles and Volume July 2019 Page 4 of 137 Find arc lengths and areas of sectors of circles MGSE9-12. Geometry circles practice test keyword after analyzing the system lists the list of keywords related and the list of websites with related content, in addition you can see which keywords most interested customers on the this website. printable worksheets > geometry worksheets & problems. Write true or false: 8. 12 Circles Study Guide PDF. Most geometry so far has involved triangles and quadrilaterals, which are formed by intervals on lines, and we turn now to the geometry of circles. Geometry Worksheets Geometry Worksheets for Practice and Study. Unit Circle Trigonometry Labeling Special Angles on the Unit Circle Labeling Special Angles on the Unit Circle We are going to deal primarily with special angles around the unit circle, namely the multiples of 30o, 45o, 60o, and 90o. Displaying GEOMETRY CIRCLES TEST REVIEW. Sequence Number Item Type: 29 MC B 003 Polygons, Circles, and Three-Dimensional Figures. Each supply box is 1. A and C are "end points" B is the "apex point" Play with it here: When you move point "B", what happens to the angle? Inscribed Angle Theorems. Please review the questions after answering all the questions. Standard units of measurment are used. 3 Worksheet by Kuta Software LLC. Homewood-Flossmoor High School Math & Science teachers have created video review lessons to help students study for Final Exams. b = 106° c. The importance of analytic geometry is that it establishes a correspondence between geometric curves and algebraic equations. For example, in Euclidean geometry, two triangles are congruent i there is. CC Geometry. If you will be requesting (or have been approved for) the accommodation of Assistive Technology Compatible format (digital testing for use with a screen reader or other assistive technology) for the SAT, you may wish to also review the math sample items in their fully formatted versions which are sorted as questions that permit the use of a calculator and questions that do not permit the use. ) In the circle at right, AE = 3, AD = 12, and BE = 14. Click the image below for more information on the electronic calculator provided on the Geometry EOC FSA Portal Training Tests Students should practice the technology enhanced items with the training tests - Hot Spots, Drag and Drop, Multi-select, Movable Text, Table Response, Equation Response, etc. You can select different variables to customize these Geometry Worksheets for your needs. Mathematics Practice Test for Ninth Graders Answer Key Question No. Posted on May 23, 2014 by gilbertnightray69 This entry was tagged Connections academy answers, Geometry answers, Geometry help, unit 6 lesson 7 circles unit test. If you want to run more complex programs, we recommend you install Python on your own computer. The unit concludes with a Unit Review and a Unit Test and we also give you a Mid-term and a Final Review and Test. In the following eight circumference worksheets, students are provided with the radius of each of the circles listed and asked to find the area and. b = 106° c. radii is 64cm. com Page 4 18) Prove that perimeter of the triangle is greater than the sum of its three medians. Students, teachers, parents, and everyone can find solutions to their math problems instantly. pdf attachment from Circles Test Part 1: (Theorems and Equations) Andrea Grieser attached Kuta Geo 11. Learn important circle formulas and strategies and practice on real math problems here. The reduction of geometry to algebra requires the notion of a transfor-mation group. Geometry Chapter 9 Test Review Name _ Date_ 1. The following is a dictionary of various topics in geometry the author has explored or simply documented over the years. For detailed geometry worksheets, see the geometry packs. We ask that you help us in our mission by complying with these Terms & Conditions. Suitable for any class with geometry content. Based on explorations and using concrete models, the student formulates and tests conjectures about the properties and attributes of circles and the lines that intersect them. Geometry Chapter 9 Test Review Name _ Date_ 1. Grade 8 Problems and Questions on Circles with Answers. This isn't a quiz or a test, and doesn't count for any sort of grade:. Geometry Assessment Assistance I. Sometimes geometry word problems wrap the geometry in a thick layer of "real life". Have fun making accurate parallelograms, bisecting angles, judging halfway points, finding the center of circles and using your eyes to gauge accuracy. The two circles below are concentric (have. Part 2 of circles test. O is the centre of this circle and point T is a point of tangency. (54 points) Circles and segments create the many relationships addressed in the theorems throughout this unit. Scribd is the world's largest social reading and publishing site. 5 - Apply Other Angle Relationships in Circles Lesson 10: Mixed Review and Angle Network Lesson 11: 10. This course will make math come alive with its many intriguing examples of geometry in the world around you, from baseball to theater lighting to space exploration. Now, taking the formula for the. Below are a number of worksheets covering geometry concepts. Two concentric circles, intersecting at three points: this is possible if the two circles are identical in dimension, position, and, assuming 3D space, orientation. If there are triangles in a question, there are only so many rules that could possibly apply. Welcome to McDougal Littell's Test Practice site. Geometry Test Practice. Plato Courses Teacher’s Guide—Geometry B 6 Objective Assessments. Infinite Geometry. Mathematics Test on Circle Geometry Enoch Lau 10M2 Page 1 Test on Circle Geometry (Chapter 15) Chord Properties of Circles A chord of a circle is any interval that joins two points on the curve. Circles and Volume: View: Extending the Number System: View: Quadratic Functions: CCGPS Analytic Geometry. 6th grade math game. Grade 7 & 8 Math Circles Circles, Circles, Circles March 19/20, 2013 Introduction The circle is a very important shape. There are also special angles, lines, and line. The circle is. Real Life Math Skills Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball. Measurement Units of Work. Geometry Honors Test - Circles - Free download as PDF File (. Theorem 73: If a tangent and a diameter meet at the point of tangency, Test Content English 75 questions,. Search this site. The course focuses on the skills and methods of linear, quadratic, coordinate, and plane geometry. txt) or read online for free. Take one of our many Advanced Geometry practice tests for a run-through of commonly asked questions. Smith Publishing Subject: Find the circumference of the circles, the area of the triangles and rectangles, and the perimeter of. This is a maze composed of 11 circles that students must use the properties of circles to find missing angles and lengths. But as we have seen, ﬁfth and sixth. Geometry Dash is a massive addicted game. In this tutorial, we’ll cover the basic concepts, properties, formulas and theorems needed to solve MBA and MS entrance exams. pdf Author: Schultz, Nicole M Created Date: 7/6/2016 9:01:53 AM. Geometry Test Practice. Page updated : 12 April 2018. The circles are congruent formed by connecting the and have a 3 inch radius. This course will make math come alive with its many intriguing examples of geometry in the world around you, from baseball to theater lighting to space exploration. The Organic Chemistry Tutor 111,279 views. Book 6 applies the theory of proportion to plane geometry, and contains theorems on similar ﬁgures. Basic information about circles A circle is all points in the same plane that lie at an equal distance from a center point. Diameter and Radius Worksheets. Let stand for the length of ; then the length of is twice this, or. Though triangles are far and away the most common geometric shape on the SAT, make sure not to underestimate the importance of circles. 38 MC B 003 Polygons, Circles, and Three-Dimensional Figures 39 MC C 003 Polygons, Circles, and Three-Dimensional Figures 40 MC D 003 Polygons, Circles, and Three-Dimensional Figures 41 MC D 003 Polygons, Circles, and Three-Dimensional Figures 42 MC D 003 Polygons, Circles, and Three-Dimensional Figures Geometry Page 7. A circle's circumference is d or 2 r (= 3. Round to the neareset tenth. In math, the concept of circles will come up again and again from kindergarten on through college calculus, but once you understand how to measure the various parts of a circle, you'll be able to talk knowledgeably about this fundamental geometric shape or quickly complete your homework assignment. If you're stuck on a geometry question, use the process of elimination. Triangle ABChas side lengths BC= 3, AC= 4, AB= 5. Background: Participants need a basic understanding of reflections, lines of reflection, lines of symmetry, and properties of similar figures. The Math Forum has a rich history as an online hub for the mathematics education community. Geometry worksheets: the circumference of circles. What is ? Justify your answer. The figure is not drawn to scale. Each pupil. This object has been assembled by gluing together several identical small cubes so that at least one face of each small cube is totally adherent to a face of another contiguous small cube. Solve the Test Item The diameter of the circle is the same as the hypotenuse of the right triangle. Pick one of our Advanced Geometry practice tests now and begin!. The definition of Diameter and Radius. Alexander Thom concluded that geometry had been used in their design. ) In the circle at right, AE = 3, AD = 12, and BE = 14.