IB MYP Unit 6 Review
|
|
- Joseph Green
- 5 years ago
- Views:
Transcription
1 Name: Date: 1. Two triangles are congruent if 1. A. corresponding angles are congruent B. corresponding sides and corresponding angles are congruent C. the angles in each triangle have a sum of 180 D. corresponding sides are proportional 2. In the diagram below, ABC = XYZ. 2. Which two statements identify corresponding congruent parts for these triangles? 3. In the accompanying diagram, E is the midpoint of AB and CD. 3. Triangle AEC can be proved congruent to triangle BED by page 1
2 4. Given: BCG is isosceles, BG = CG, AB = CD, EC = FB 4. Prove: m E = m F Which triangle congruence case is required for the proof? A. ASA B. SAS C. SSA D. SSS Determine the length of ST if MN is (8x 3) units. page 2
3 6. In the diagram below of ABC, D is the midpoint of AB, and E is the midpoint of BC. 6. If AC = 4x + 10, which expression represents DE? 7. In the accompanying diagram, B is the midpoint of AC, DA AC, EC AC, and DB = EB. Which method of proof may be used to prove DAB = ECB? 7. A. SAS = SAS B. ASA = ASA C. HL = HL D. AAS = AAS 8. If two angles of one triangle are congruent to two angles of of another triangle, these triangles must be 8. A. similar B. congruent C. scalene D. isosceles page 3
4 9. In ABC, A = C, AB = 10x 7, BC = 2x + 33, and AC = 4x 6. Find x In the accompanying diagram of triangles BAT and FLU, B = F and BA = FL. 10. Which statement is needed to prove BAT = FLU? 11. In the accompanying diagram of quadrilateral QRST, RS = ST, SR QR, and ST QT. Which method of proof may be used to prove QRS = QTS? The measures of the angles of a triangle are represented by 4x, x + 40, and 2x. Find the value of x. 12. page 4
5 13. B and G are midpoints of AD and AE, and C and F are midpoints of BD and GE. If BG = 9, find the length of CF In the accompanying diagram, ACE, BCD, AB, and DE, A = E, and C is the midpoint of AE. Which theorem justifies ABC = EDC? 14. page 5
6 15. As shown in the diagram below, AC bisects BAD and B = D. 15. Which method could be used to prove ABC = ADC? 16. In the accompanying diagram of ABC, side AB is extended to D. If m ACB = x + 30, m CAB = 2x + 10, and m CBD = 4x + 30, what is the value of x? 16. page 6
7 17. Given: CF = EF FD is a median of CFE Prove: FD bisects CFE 17. statement reason FD is a median of CFE (1) CD = ED (2) (3) given (4) (5) CFD = EFD (6) (7) (8) FD bisects CFE (9) In the above proof, what is reason (6)? 18. In the diagram of ABC and EDC below, AE and BD intersect at C, and CAB = CED. 18. Which method can be used to show that ABC must be similar to EDC? page 7
8 19. In the diagram below, ABC EFG, m C = 4x + 30, and m G = 5x Determine the value of x The diagram below shows the construction of the bisector of ABC. Which reason for triangle congruence is used in proving that BF bisects ABC? 20. A. ASA B. SAS C. SSS D. SAA page 8
9 21. Given: Prove: WY is the angle bisector of XWZ m XYW = m ZYW WXY = WZY 21. statement reason WY is the bisector of XWZ (1) m XWY = m ZWY (2) WY = WY (3) m XYW = m ZYW (4) WXY = WZY (5) In the above proof, what is reason (3)? 22. In the accompanying diagram, RL LP, LR RT, and M is the midpoint of TP. Which method could be used to prove TMR = PML? 22. A. SAS = SAS B. AAS = AAS C. HL = HL D. SSS = SSS 23. If the three angles of a triangle are represented by (x + 30), (4x + 30), and (10x 30), the triangle must be 23. A. obtuse B. isosceles C. right D. scalene page 9
10 24. In the accompanying diagram of ABC, AB is extended through B to D. m CBD = 3x + 20, m A = x, and m ACB = x + 60, find x. If In the diagram below, four pairs of triangles are shown. Congruent corresponding parts are labeled in each pair. 25. A C B D Using only the information given in the diagrams, which pair of triangles can not be proven congruent? A. A B. B C. C D. D page 10
11 26. State the congruence relation for XYZ and PQR Which statement is not valid for proving that two triangles are congruent? What is the measure of the largest angle in the accompanying triangle? 28. page 11
12 29. Given: VY = WY VX = WZ Y is the midpoint of XZ 29. Prove: VXY = WYZ statement reason Y is the midpoint of XZ (1) XY = YZ (2) VY = WY (3) VX = WZ (4) VXY = WYZ (5) In the above proof, what is reason (2)? 30. Given: ABC, BED, AB = CB, and D is the midpoint of AC. Prove: AE = CE. 30. page 12
13 31. In the accompanying diagram, CA AB, ED DF, ED AB, CE = BF, AB = ED, and m CAB = m FDE = Which statement would not be used to prove ABC = DEF? 32. In the diagram of ABC and DEF below, AB = DE, A = D, and B = E. 32. Which method can be used to prove ABC = DEF? Determine the length of MN if ST is (3x + 2) units. page 13
14 34. Which statements could be used to prove that ABC and A B C are congruent? In the accompanying diagram, m A = 2x 30, m B = x, and m C = x Find the number of degrees in B. 35. page 14
15 Problem-Attic format version c EducAide Software Licensed for use by kellyc.taylor@cms.k12.nc.us Terms of Use at 11/09/ Objective: 5. Objective: B BC = YZ and A = X SAS = SAS B G.CO.10 8x 3 2 G.SRT x C A A = L HL Objective: G.SRT ASA = ASA AAS Objective: SSS G.CO Objective: C reflexive property G.CO.10 B B Objective: 27. A Objective: not necessarily congruent G.CO.7 SSA = SSA definition of midpoint G.CO.10 [proof] SSS = SSS ASA 33. 6x + 4 Objective: G.SRT AB = A B, A = A, and C = C 18. AA
2. In the accompanying diagram, ABC and RST are right triangles with right angles at B and S, respectively; AB. = RS and AC = RT.
1. In the accompanying diagram, is the midpoint of, D, E, and D = E. Which method of proof may be used to prove D = E?. SS = SS. S = S. HL = HL D. S = S 2. In the accompanying diagram, and RST are right
More informationPostulates and Theorems in Proofs
Postulates and Theorems in Proofs A Postulate is a statement whose truth is accepted without proof A Theorem is a statement that is proved by deductive reasoning. The Reflexive Property of Equality: a
More informationGEO REVIEW TEST #1. 1. In which quadrilateral are the diagonals always congruent?
GEO REVIEW TEST #1 Name: Date: 1. In which quadrilateral are the diagonals always congruent? (1) rectangle (3) rhombus 4. In the accompanying diagram, lines AB and CD intersect at point E. If m AED = (x+10)
More information2. If two isosceles triangles have congruent vertex angles, then the triangles must be A. congruent B. right C. equilateral D.
1. If two angles of a triangle measure 56 and 68, the triangle is A. scalene B. isosceles C. obtuse D. right 2. If two isosceles triangles have congruent vertex angles, then the triangles must be A. congruent
More informationTriangle Congruence and Similarity Review. Show all work for full credit. 5. In the drawing, what is the measure of angle y?
Triangle Congruence and Similarity Review Score Name: Date: Show all work for full credit. 1. In a plane, lines that never meet are called. 5. In the drawing, what is the measure of angle y? A. parallel
More informationTRIANGLES CHAPTER 7. (A) Main Concepts and Results. (B) Multiple Choice Questions
CHAPTER 7 TRIANGLES (A) Main Concepts and Results Triangles and their parts, Congruence of triangles, Congruence and correspondence of vertices, Criteria for Congruence of triangles: (i) SAS (ii) ASA (iii)
More information6 CHAPTER. Triangles. A plane figure bounded by three line segments is called a triangle.
6 CHAPTER We are Starting from a Point but want to Make it a Circle of Infinite Radius A plane figure bounded by three line segments is called a triangle We denote a triangle by the symbol In fig ABC has
More informationHonors Geometry Term 1 Practice Final
Name: Class: Date: ID: A Honors Geometry Term 1 Practice Final Short Answer 1. RT has endpoints R Ê Ë Á 4,2 ˆ, T Ê ËÁ 8, 3 ˆ. Find the coordinates of the midpoint, S, of RT. 5. Line p 1 has equation y
More informationChapter 7. Geometric Inequalities
4. Let m S, then 3 2 m R. Since the angles are supplementary: 3 2580 4568 542 Therefore, m S 42 and m R 38. Part IV 5. Statements Reasons. ABC is not scalene.. Assumption. 2. ABC has at least 2. Definition
More informationDay 6: Triangle Congruence, Correspondence and Styles of Proof
Name: Day 6: Triangle Congruence, Correspondence and Styles of Proof Date: Geometry CC (M1D) Opening Exercise Given: CE bisects BD Statements 1. bisects 1.Given CE BD Reasons 2. 2. Define congruence in
More informationAnswers. Chapter 9 A92. Angles Theorem (Thm. 5.6) then XZY. Base Angles Theorem (Thm. 5.6) 5, 2. then WV WZ;
9 9. M, 0. M ( 9, 4) 7. If WZ XZ, then ZWX ZXW ; Base Angles Theorem (Thm..6). M 9,. M ( 4, ) 74. If XZ XY, then XZY Y; Base Angles Theorem (Thm..6). M, 4. M ( 9, ) 7. If V WZV, then WV WZ; Converse of
More informationUNIT 1: SIMILARITY, CONGRUENCE, AND PROOFS. 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1).
1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). The dilation is Which statement is true? A. B. C. D. AB B' C' A' B' BC AB BC A' B' B' C' AB BC A' B' D'
More informationGeometry Honors Review for Midterm Exam
Geometry Honors Review for Midterm Exam Format of Midterm Exam: Scantron Sheet: Always/Sometimes/Never and Multiple Choice 40 Questions @ 1 point each = 40 pts. Free Response: Show all work and write answers
More information1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3. a cm b cm c cm d. 21.
FALL SEMESTER EXAM REVIEW (Chapters 1-6) CHAPTER 1 1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3 2. Find the length of PQ. a. 50.9 cm b. 46.3 cm c. 25.7 cm
More informationTriangles. 3.In the following fig. AB = AC and BD = DC, then ADC = (A) 60 (B) 120 (C) 90 (D) none 4.In the Fig. given below, find Z.
Triangles 1.Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third side? (A) 19 cm. (B) 17 cm. (C) 23 cm. of these. 2.Can 80, 75 and 20 form a triangle?
More informationGeometry Honors: Midterm Exam Review January 2018
Name: Period: The midterm will cover Chapters 1-6. Geometry Honors: Midterm Exam Review January 2018 You WILL NOT receive a formula sheet, but you need to know the following formulas Make sure you memorize
More informationGEOMETRY Teacher: Mrs. Flynn Topic: Similarity. Teacher: Mrs. Flynn Topic: Similarity
GEOMETRY Teacher: Mrs. Flynn Topic: Similarity Name: Date: Teacher: Mrs. Flynn Topic: Similarity 1. A tree casts a shadow 24 feet long at the same time a man 6 feet tall casts a shadow 4 feet long. Find
More information0113ge. Geometry Regents Exam In the diagram below, under which transformation is A B C the image of ABC?
0113ge 1 If MNP VWX and PM is the shortest side of MNP, what is the shortest side of VWX? 1) XV ) WX 3) VW 4) NP 4 In the diagram below, under which transformation is A B C the image of ABC? In circle
More informationUNIT 1: SIMILARITY, CONGRUENCE, AND PROOFS. 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1).
EOCT Practice Items 1) Figure A'B'C'D'F' is a dilation of figure ABCDF by a scale factor of 1. 2 centered at ( 4, 1). The dilation is Which statement is true? A. B. C. D. AB B' C' A' B' BC AB BC A' B'
More informationReview for Geometry Midterm 2015: Chapters 1-5
Name Period Review for Geometry Midterm 2015: Chapters 1-5 Short Answer 1. What is the length of AC? 2. Tell whether a triangle can have sides with lengths 1, 2, and 3. 3. Danny and Dana start hiking from
More informationGeometry 3 SIMILARITY & CONGRUENCY Congruency: When two figures have same shape and size, then they are said to be congruent figure. The phenomena between these two figures is said to be congruency. CONDITIONS
More informationA plane can be names using a capital cursive letter OR using three points, which are not collinear (not on a straight line)
Geometry - Semester 1 Final Review Quadrilaterals (Including some corrections of typos in the original packet) 1. Consider the plane in the diagram. Which are proper names for the plane? Mark all that
More informationCONGRUENCE OF TRIANGLES
Congruence of Triangles 11 CONGRUENCE OF TRIANGLES You might have observed that leaves of different trees have different shapes, but leaves of the same tree have almost the same shape. Although they may
More informationTriangles. Chapter Flowchart. The Chapter Flowcharts give you the gist of the chapter flow in a single glance.
Triangles Chapter Flowchart The Chapter Flowcharts give you the gist of the chapter flow in a single glance. Triangle A plane figure bounded by three line segments is called a triangle. Types of Triangles
More informationTriangles. Example: In the given figure, S and T are points on PQ and PR respectively of PQR such that ST QR. Determine the length of PR.
Triangles Two geometric figures having the same shape and size are said to be congruent figures. Two geometric figures having the same shape, but not necessarily the same size, are called similar figures.
More information0811ge. Geometry Regents Exam BC, AT = 5, TB = 7, and AV = 10.
0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 1) 9 2) 8 3) 3 4) 6 2 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation
More informationG.CO.6-9 ONLY COMMON CORE QUESTIONS
Class: Date: G.CO.6-9 ONLY COMMON CORE QUESTIONS Multiple Choice Identify the choice that best completes the statement or answers the question. 1 The image of ABC after a rotation of 90º clockwise about
More informationHonors Geometry Mid-Term Exam Review
Class: Date: Honors Geometry Mid-Term Exam Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Classify the triangle by its sides. The
More informationPage 1 of 11 Name: 1) Which figure always has exactly four lines of reflection that map the figure onto itself? A) rectangle B) square C) regular octagon D) equilateral triangle ee4caab3 - Page 1 2) In
More informationAnswer Key. 9.1 Parts of Circles. Chapter 9 Circles. CK-12 Geometry Concepts 1. Answers. 1. diameter. 2. secant. 3. chord. 4.
9.1 Parts of Circles 1. diameter 2. secant 3. chord 4. point of tangency 5. common external tangent 6. common internal tangent 7. the center 8. radius 9. chord 10. The diameter is the longest chord in
More information0114ge. Geometry Regents Exam 0114
0114ge 1 The midpoint of AB is M(4, 2). If the coordinates of A are (6, 4), what are the coordinates of B? 1) (1, 3) 2) (2, 8) 3) (5, 1) 4) (14, 0) 2 Which diagram shows the construction of a 45 angle?
More information1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT.
1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would prove l m? 1) 2.5 2) 4.5 3)
More informationGeometry - Semester 1 Final Review Quadrilaterals
Geometry - Semester 1 Final Review Quadrilaterals 1. Consider the plane in the diagram. Which are proper names for the plane? Mark all that apply. a. Plane L b. Plane ABC c. Plane DBC d. Plane E e. Plane
More informationCircles. 1. In the accompanying figure, the measure of angle AOB is 50. Find the measure of inscribed angle ACB.
ircles Name: Date: 1. In the accompanying figure, the measure of angle AOB is 50. Find the measure of inscribed angle AB. 4. In the accompanying diagram, P is tangent to circle at and PAB is a secant.
More informationGeometry Problem Solving Drill 08: Congruent Triangles
Geometry Problem Solving Drill 08: Congruent Triangles Question No. 1 of 10 Question 1. The following triangles are congruent. What is the value of x? Question #01 (A) 13.33 (B) 10 (C) 31 (D) 18 You set
More informationPage 1 of 8 Name: 1. Write in symbolic form the inverse of ~p q. 1. ~q p 2. q ~ p 3. p q 4. p ~ q 2. In symbolic form, write the contrapositive of p ~q. 1. q ~ p 2. ~p ~q 3. ~p q 4. ~q p 3. Figure 1 In
More information0811ge. Geometry Regents Exam
0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 1) 9 ) 8 3) 3 4) 6 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation
More information0609ge. Geometry Regents Exam AB DE, A D, and B E.
0609ge 1 Juliann plans on drawing ABC, where the measure of A can range from 50 to 60 and the measure of B can range from 90 to 100. Given these conditions, what is the correct range of measures possible
More informationChapter 6 Summary 6.1. Using the Hypotenuse-Leg (HL) Congruence Theorem. Example
Chapter Summary Key Terms corresponding parts of congruent triangles are congruent (CPCTC) (.2) vertex angle of an isosceles triangle (.3) inverse (.4) contrapositive (.4) direct proof (.4) indirect proof
More information0610ge. Geometry Regents Exam The diagram below shows a right pentagonal prism.
0610ge 1 In the diagram below of circle O, chord AB chord CD, and chord CD chord EF. 3 The diagram below shows a right pentagonal prism. Which statement must be true? 1) CE DF 2) AC DF 3) AC CE 4) EF CD
More informationJEFFERSON MATH PROJECT REGENTS AT RANDOM
JEFFERSON MATH PROJECT REGENTS AT RANDOM The NY Geometry Regents Exams Fall 2008-August 2009 Dear Sir I have to acknolege the reciept of your favor of May 14. in which you mention that you have finished
More informationRevision Question Bank
Revision Question Bank Triangles 1. In the given figure, find the values of x and y. Since, AB = AC C = B [angles opposite to the equal sides are equal] x = 50 Also, the sum of all angles of a triangle
More information0112ge. Geometry Regents Exam Line n intersects lines l and m, forming the angles shown in the diagram below.
Geometry Regents Exam 011 011ge 1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would
More information0809ge. Geometry Regents Exam Based on the diagram below, which statement is true?
0809ge 1 Based on the diagram below, which statement is true? 3 In the diagram of ABC below, AB AC. The measure of B is 40. 1) a b ) a c 3) b c 4) d e What is the measure of A? 1) 40 ) 50 3) 70 4) 100
More informationHonors Geometry Midterm Questions
2015-16 Honors Geometry Midterm Questions Name 1. What is the midpoint of a line that has endpoints at (0, 3) and (6, -1)? A. (12, 2) B. (3, 1) C. (12, -5) D. (3, 2) 2. 3. If X is the midpoint of CN and
More informationGeometry Midterm Exam Review 3. Square BERT is transformed to create the image B E R T, as shown.
1. Reflect FOXY across line y = x. 3. Square BERT is transformed to create the image B E R T, as shown. 2. Parallelogram SHAQ is shown. Point E is the midpoint of segment SH. Point F is the midpoint of
More informationQuads. 4. In the accompanying figure, ABCD is a parallelogram, m A = 2x + 35, and m C = 5x 22. Find the value of x.
Name: Date: 1. In the accompanying diagram of rhombus ACD, the lengths of the sides A and C are represented by 3x 4 and 2x + 1, respectively. Find the value of x. 4. In the accompanying figure, ACD is
More information12 Write a two-column proof.
Name: Period: Date: ID: A Chapter 4 Review -- GH 1 Find each measure. m 1, m 2, m 3 9 Triangles ABC and AFD are vertical congruent equilateral triangles. Find x and y. 2 Determine whether PQR STU given
More information9. AD = 7; By the Parallelogram Opposite Sides Theorem (Thm. 7.3), AD = BC. 10. AE = 7; By the Parallelogram Diagonals Theorem (Thm. 7.6), AE = EC.
3. Sample answer: Solve 5x = 3x + 1; opposite sides of a parallelogram are congruent; es; You could start b setting the two parts of either diagonal equal to each other b the Parallelogram Diagonals Theorem
More informationName: Class: Date: If AB = 20, BC = 12, and AC = 16, what is the perimeter of trapezoid ABEF?
Class: Date: Analytic Geometry EOC Practice Questions Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the diagram below of circle O, chords AB and CD
More informationNozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Ismailia Road Branch
Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Sheet Ismailia Road Branch Sheet ( 1) 1-Complete 1. in the parallelogram, each two opposite
More informationLesson. Warm Up deductive 2. D. 3. I will go to the store; Law of Detachment. Lesson Practice 31
Warm Up 1. deductive 2. D b. a and b intersect 1 and 2 are supplementary 2 and 3 are supplementary 3. I will go to the store; Law of Detachment Lesson Practice a. 1. 1 and 2 are. 2. 1 and 3 are. 3. m 1
More informationNozha Directorate of Education Form : 2 nd Prep
Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep Nozha Language Schools Geometry Revision Sheet Ismailia Road Branch Sheet ( 1) 1-Complete 1. In the parallelogram, each
More informationEOC Review MC Questions
Geometry EOC Review MC Questions Name Date Block You must show all work to receive full credit. - For every 5 answers that are correct, you may receive 5 extra points in the quiz category for a total of
More informationGeometry Essentials ( ) Midterm Review. Chapter 1 For numbers 1 4, use the diagram below. 1. Classify as acute, obtuse, right or straight.
Geometry Essentials (2015-2016) Midterm Review Name: Chapter 1 For numbers 1 4, use the diagram below. 1. Classify as acute, obtuse, right or straight. 2. is a linear pair with what other angle? 3. Name
More informationH. Math 2 Benchmark 1 Review
H. Math 2 enchmark 1 Review Name: ate: 1. Parallelogram C was translated to parallelogram C. 2. Which of the following is a model of a scalene triangle?.. How many units and in which direction were the
More informationHonors Geometry Review Exercises for the May Exam
Honors Geometry, Spring Exam Review page 1 Honors Geometry Review Exercises for the May Exam C 1. Given: CA CB < 1 < < 3 < 4 3 4 congruent Prove: CAM CBM Proof: 1 A M B 1. < 1 < 1. given. < 1 is supp to
More informationGeometry Practice Midterm
Class: Date: Geometry Practice Midterm 2018-19 1. If Z is the midpoint of RT, what are x, RZ, and RT? A. x = 19, RZ = 38, and RT = 76 C. x = 17, RZ = 76, and RT = 38 B. x = 17, RZ = 38, and RT = 76 D.
More informationUse this space for computations. 1 In trapezoid RSTV below with bases RS and VT, diagonals RT and SV intersect at Q.
Part I Answer all 28 questions in this part. Each correct answer will receive 2 credits. For each statement or question, choose the word or expression that, of those given, best completes the statement
More informationGeometry - Review for Final Chapters 5 and 6
Class: Date: Geometry - Review for Final Chapters 5 and 6 1. Classify PQR by its sides. Then determine whether it is a right triangle. a. scalene ; right c. scalene ; not right b. isoceles ; not right
More informationGeometry. Midterm Review
Geometry Midterm Review Class: Date: Geometry Midterm Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1 A plumber knows that if you shut off the water
More informationJEFFERSON MATH PROJECT REGENTS AT RANDOM
JEFFERSON MATH PROJECT REGENTS AT RANDOM The NY Geometry Regents Exams Fall 2008-January 2010 Dear Sir I have to acknolege the reciept of your favor of May 14. in which you mention that you have finished
More informationGeometry S1 (#2211) Foundations in Geometry S1 (#7771)
Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: Geometry S1 (#2211) Foundations
More informationIMPORTANT VOCABULARY. Scalene Triangle. Triangle. SSS ASA SAS AAS sides/angles
1 Pre-AP Geometry Chapter 5 Test Review Standards/Goals: C.1.f.: I can prove that two triangles are congruent by applying the SSS, SAS, ASA, and AAS congruence statements. C.1.g. I can use the principle
More informationPractice Test Student Answer Document
Practice Test Student Answer Document Record your answers by coloring in the appropriate bubble for the best answer to each question. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
More informationProperties of the Circle
9 Properties of the Circle TERMINOLOGY Arc: Part of a curve, most commonly a portion of the distance around the circumference of a circle Chord: A straight line joining two points on the circumference
More informationMath 3 Review Sheet Ch. 3 November 4, 2011
Math 3 Review Sheet Ch. 3 November 4, 2011 Review Sheet: Not all the problems need to be completed. However, you should look over all of them as they could be similar to test problems. Easy: 1, 3, 9, 10,
More informationGeometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1
Name: Class: Date: Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1 Multiple Choice. Identify the choice that best completes the statement or answers the question. 1. Which statement(s)
More information9. a. DEF UVW. c. UV a. MNO MPQ. b. MP. 11. a. (AC) (AC) (AC)
C H A P T E R 1 3 SIMILAR TRIANGLES AND TRIGONOMETRY LESSON 13-1 pp. 738 743 1. The literal meaning of trigonometry is triangle measure.. a. No, because no unit was named. Students might use different
More information1) Exercise 1 In the diagram, ABC = AED, AD = 3, DB = 2 and AE = 2. Determine the length of EC. Solution:
1) Exercise 1 In the diagram, ABC = AED, AD = 3, DB = 2 and AE = 2. Determine the length of EC. Solution: First, we show that AED and ABC are similar. Since DAE = BAC and ABC = AED, we have that AED is
More informationGeometry 21 - More Midterm Practice
Class: Date: Geometry 21 - More Midterm Practice 1. What are the names of three planes that contain point A? 6. If T is the midpoint of SU, what are ST, TU, and SU? A. ST = 7, TU = 63, and SU = 126 B.
More information7. m JHI = ( ) and m GHI = ( ) and m JHG = 65. Find m JHI and m GHI.
1. Name three points in the diagram that are not collinear. 2. If RS = 44 and QS = 68, find QR. 3. R, S, and T are collinear. S is between R and T. RS = 2w + 1, ST = w 1, and RT = 18. Use the Segment Addition
More information9 th CBSE Mega Test - II
9 th CBSE Mega Test - II Time: 3 hours Max. Marks: 90 General Instructions All questions are compulsory. The question paper consists of 34 questions divided into four sections A, B, C and D. Section A
More informationSimilarity of Triangle
Similarity of Triangle 95 17 Similarity of Triangle 17.1 INTRODUCTION Looking around you will see many objects which are of the same shape but of same or different sizes. For examples, leaves of a tree
More information0615geo. Geometry CCSS Regents Exam In the diagram below, congruent figures 1, 2, and 3 are drawn.
0615geo 1 Which object is formed when right triangle RST shown below is rotated around leg RS? 4 In the diagram below, congruent figures 1, 2, and 3 are drawn. 1) a pyramid with a square base 2) an isosceles
More informationHonors Geometry Exam Review January 2015
Class: Date: Honors Geometry Exam Review January 2015 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. How many planes can be drawn through any three noncollinear
More informationYear 9 Term 3 Homework
Yimin Math Centre Year 9 Term 3 Homework Student Name: Grade: Date: Score: Table of contents 5 Year 9 Term 3 Week 5 Homework 1 5.1 Geometry (Review)................................... 1 5.1.1 Angle sum
More informationName: Class: Date: 5. If the diagonals of a rhombus have lengths 6 and 8, then the perimeter of the rhombus is 28. a. True b.
Indicate whether the statement is true or false. 1. If the diagonals of a quadrilateral are perpendicular, the quadrilateral must be a square. 2. If M and N are midpoints of sides and of, then. 3. The
More informationSOLUTIONS FOR. MTH 338 Final, June A 3 5 note card allowed. Closed book. No calculator. You may also use your list of the first 15 SMGS axioms.
SOLUTIONS FOR MTH 338 Final, June 2009 A 3 5 note card allowed. Closed book. No calculator. You may also use your list of the first 15 SMGS axioms. 1. In neutral geometry and without a compass, prove that
More informationSOLUTIONS SECTION A [1] = 27(27 15)(27 25)(27 14) = 27(12)(2)(13) = cm. = s(s a)(s b)(s c)
1. (A) 1 1 1 11 1 + 6 6 5 30 5 5 5 5 6 = 6 6 SOLUTIONS SECTION A. (B) Let the angles be x and 3x respectively x+3x = 180 o (sum of angles on same side of transversal is 180 o ) x=36 0 So, larger angle=3x
More information1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle?
1 For all problems, NOTA stands for None of the Above. 1. If two angles of a triangle measure 40 and 80, what is the measure of the other angle of the triangle? (A) 40 (B) 60 (C) 80 (D) Cannot be determined
More informationCONGRUENCE AND SIMILARITY
CONGRUENCE ND SIMILRITY 1.1CONGRUENT FIGURES The figures that have the same size and the same shape, i.e. one shape fits exactly onto other is called Congruent figures. CONGRUENT TRINGLES: 1. Two triangles
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, August 17, 2011 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of
More informationGeometry CP - Ch. 4 Review
Geometry CP - Ch. 4 Review 1. If, which of the following can you NOT conclude as being true? A. B. C. D. 2. A. B. C. D. 3. Given and, find the length of QS and TV. A. 7 B. 25 C. 8 D. 2 4. The two triangles
More information1 What is the solution of the system of equations graphed below? y = 2x + 1
1 What is the solution of the system of equations graphed below? y = 2x + 1 3 As shown in the diagram below, when hexagon ABCDEF is reflected over line m, the image is hexagon A'B'C'D'E'F'. y = x 2 + 2x
More informationSUMMATIVE ASSESSMENT I, IX / Class IX
I, 0 SUMMATIVE ASSESSMENT I, 0 0 MATHEMATICS / MATHEMATICS MATHEMATICS CLASS CLASS - IX - IX IX / Class IX MA-0 90 Time allowed : hours Maximum Marks : 90 (i) (ii) 8 6 0 0 (iii) 8 (iv) (v) General Instructions:
More informationCHAPTER 7 TRIANGLES. 7.1 Introduction. 7.2 Congruence of Triangles
CHAPTER 7 TRIANGLES 7.1 Introduction You have studied about triangles and their various properties in your earlier classes. You know that a closed figure formed by three intersecting lines is called a
More informationChapter 8 Similar Triangles
Chapter 8 Similar Triangles Key Concepts:.A polygon in which all sides and angles are equal is called a regular polygon.. Properties of similar Triangles: a) Corresponding sides are in the same ratio b)
More information2) Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain.
1) Explain what it means to bisect a segment. Why is it impossible to bisect a line? 2) Are all linear pairs supplementary angles? Are all supplementary angles linear pairs? Explain. 3) Explain why a four-legged
More informationGeometer: CPM Chapters 1-6 Period: DEAL. 7) Name the transformation(s) that are not isometric. Justify your answer.
Semester 1 Closure Geometer: CPM Chapters 1-6 Period: DEAL Take time to review the notes we have taken in class so far and previous closure packets. Look for concepts you feel very comfortable with and
More informationMaharashtra State Board Class X Mathematics Geometry Board Paper 2015 Solution. Time: 2 hours Total Marks: 40
Maharashtra State Board Class X Mathematics Geometry Board Paper 05 Solution Time: hours Total Marks: 40 Note:- () Solve all questions. Draw diagrams wherever necessary. ()Use of calculator is not allowed.
More informationClass IX Chapter 8 Quadrilaterals Maths
Class IX Chapter 8 Quadrilaterals Maths Exercise 8.1 Question 1: The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral. Answer: Let the common ratio between
More information5-1 Practice Form K. Midsegments of Triangles. Identify three pairs of parallel segments in the diagram.
5-1 Practice Form K Midsegments of Triangles Identify three pairs of parallel segments in the diagram. 1. 2. 3. Name the segment that is parallel to the given segment. 4. MN 5. ON 6. AB 7. CB 8. OM 9.
More informationClass IX Chapter 8 Quadrilaterals Maths
1 Class IX Chapter 8 Quadrilaterals Maths Exercise 8.1 Question 1: The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral. Let the common ratio between the angles
More informationWhich statement is true about parallelogram FGHJ and parallelogram F ''G''H''J ''?
Unit 2 Review 1. Parallelogram FGHJ was translated 3 units down to form parallelogram F 'G'H'J '. Parallelogram F 'G'H'J ' was then rotated 90 counterclockwise about point G' to obtain parallelogram F
More information7.5 Proportionality Relationships
www.ck12.org Chapter 7. Similarity 7.5 Proportionality Relationships Learning Objectives Identify proportional segments when two sides of a triangle are cut by a segment parallel to the third side. Extend
More information*Please do not write on these worksheets. Show all diagrams, work, and answers on your own piece of paper*
Geometry Homework Worksheets: Chapter 1 *Please do not write on these worksheets. Show all diagrams, work, and answers on your own piece of paper* HW#1: Problems #1-10 For #1-4, choose the best answer
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXMINTION GEOMETRY Thursday, January 26, 2012 9:15 a.m. to 12:15 p.m., only Student Name: Notice School Name: Print your name and the
More informationEuclidean Geometry Proofs
Euclidean Geometry Proofs History Thales (600 BC) First to turn geometry into a logical discipline. Described as the first Greek philosopher and the father of geometry as a deductive study. Relied on rational
More informationRelationships of Side Lengths and Angle Measures. Theorem: Practice: State the longest side of the triangle. Justify your answer.
10R Unit 8 Similarity CW 8.1 Relationships of Side Lengths and Angle Measures HW: Worksheet #8.1 (following these notes) Theorem: Practice: 1. State the longest side of the triangle. Justify your answer..
More information