Geometry 1st Semester Final Review Chapter 4 Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Given which side is congruent to a. b. c. d. e. Cannot be determined ____ 2. Which statement correctly describes the congruence of the triangles in the diagram? a. b. c. d. e. None of these Short Answer Decide whether it is possible to prove that the triangles are congruent. If so, construct a proof validating your opinion. 1. 2. 3. 4. 5. 6. 7. 8. Find the value of x. 9. 10. 11. 12. 13. Classify the transformation as a reflection, rotation, or translation. 14. 15. 16. The vertices of a polygon are given. Find the coordinates of the vertices of the image after the specified translation. 17. P(–5, 4), Q(1, 4), R(1, 1); (x, y) (x + 1, y – 5) 18. A(–2, –1), B(–3, 4), C(–1, 3), D(–1, –1); (x, y) (x – 4, y – 2) Classify the triangle by its angles and by its sides. 19. 20. Geometry 1st Semester Final Review Chapter 4 Answer Section MULTIPLE CHOICE 1. ANS: TOP: BLM: 2. ANS: TOP: BLM: C PTS: 1 DIF: SAT/ACT Chapter Test KEY: Comprehension NOT: A PTS: 1 DIF: SAT/ACT Chapter Test KEY: Application NOT: 978-0-618-65613-4 Level A REF: G1.04.EN.ST.03 SAT/ACT | congruent triangles 978-0-618-65613-4 Level B REF: G1.04.EN.ST.04 SAT/ACT | congruent triangles SHORT ANSWER 1. ANS: yes; HL Theorem PTS: 1 DIF: Level A REF: Geo.04.TestA.Eng.08 TOP: Ch. 4 Test, Level A KEY: Pre-made Test | congruent triangles | right triangles | HL BLM: Analysis NOT: 978-0-618-65613-4 2. ANS: yes; SSS, SAS, or ASA Postulates PTS: 1 DIF: Level A REF: Geo.04.TestA.Eng.10 TOP: Ch. 4 Test, Level A KEY: Pre-made Test | congruent triangles | SSS Congruence Postulate | SAS congruence | ASA BLM: Analysis NOT: 978-0-618-65613-4 3. ANS: yes; SSS, SAS, or ASA Postulates PTS: 1 DIF: Level A REF: Geo.04.TestA.Eng.11 TOP: Ch. 4 Test, Level A KEY: Pre-made Test | congruent triangles | SSS Congruence Postulate | SAS congruence | ASA BLM: Analysis NOT: 978-0-618-65613-4 4. ANS: yes; SAS Postulate PTS: 1 DIF: Level A REF: Geo.04.TestA.Eng.12 TOP: Ch. 4 Test, Level A KEY: Pre-made Test | congruent triangles | SAS congruence BLM: Analysis NOT: 978-0-618-65613-4 5. ANS: yes; SAS PTS: 1 DIF: Level B REF: Geo.04.TestB.Eng.09 TOP: Ch. 4 Test, Level B KEY: Pre-made Test | congruent triangles BLM: Analysis NOT: 978-0-618-65613-4 6. ANS: yes; ASA PTS: 1 DIF: Level B REF: Geo.04.TestB.Eng.10 TOP: Ch. 4 Test, Level B KEY: Pre-made Test | congruent triangles BLM: Analysis NOT: 978-0-618-65613-4 7. ANS: no PTS: 1 DIF: Level C REF: Geo.04.TestC.Eng.07 NAT: NCTM 9-12.GEO.1.b TOP: Ch. 4 Test, Level C KEY: Pre-made Test | congruent triangles BLM: Analysis NOT: 978-0-618-65613-4 8. ANS: yes; ASA PTS: 1 DIF: Level C REF: Geo.04.TestC.Eng.11 TOP: Ch. 4 Test, Level C KEY: Pre-made Test | congruent triangles BLM: Analysis NOT: 978-0-618-65613-4 9. ANS: 40 PTS: STA: KEY: BLM: 10. ANS: 17.5 1 DIF: Level A REF: Geo.04.TestA.Eng.14 MO.MOGCLE.MTH.07.GEO.M.2.B.1 TOP: Ch. 4 Test, Level A Pre-made Test | triangles | angle measure | interior angle | exterior angle Comprehension NOT: 978-0-618-65613-4 PTS: STA: KEY: NOT: 11. ANS: 35 1 DIF: Level A REF: Geo.04.TestA.Eng.17 MO.MOGCLE.MTH.07.GEO.M.2.B.1 TOP: Ch. 4 Test, Level A Pre-made Test | triangles | angle measure BLM: Comprehension 978-0-618-65613-4 PTS: 1 DIF: Level A TOP: Ch. 4 Test, Level A BLM: Comprehension 12. ANS: 13 REF: Geo.04.TestA.Eng.18 KEY: Pre-made Test | isosceles triangles | side lengths NOT: 978-0-618-65613-4 PTS: STA: KEY: NOT: 13. ANS: 78 1 DIF: Level C REF: Geo.04.TestC.Eng.13 MO.MOGCLE.MTH.07.GEO.M.2.B.1 TOP: Ch. 4 Test, Level C Pre-made Test | right triangles | angle measure BLM: Comprehension 978-0-618-65613-4 PTS: STA: KEY: NOT: 1 DIF: Level C REF: Geo.04.TestC.Eng.18 MO.MOGCLE.MTH.07.GEO.M.2.B.1 TOP: Ch. 4 Test, Level C Pre-made Test | isosceles triangles | angle measure BLM: Comprehension 978-0-618-65613-4 14. ANS: rotation PTS: 1 DIF: Level A TOP: Ch. 4 Test, Level A BLM: Comprehension 15. ANS: reflection REF: Geo.04.TestA.Eng.21 KEY: Pre-made Test | transformations | rotations NOT: 978-0-618-65613-4 PTS: 1 DIF: Level A TOP: Ch. 4 Test, Level A BLM: Comprehension 16. ANS: translation REF: Geo.04.TestA.Eng.22 KEY: Pre-made Test | transformations | reflections NOT: 978-0-618-65613-4 PTS: 1 DIF: Level A TOP: Ch. 4 Test, Level A BLM: Comprehension 17. ANS: REF: Geo.04.TestA.Eng.24 KEY: Pre-made Test | transformations | translations NOT: 978-0-618-65613-4 PTS: NAT: TOP: BLM: 18. ANS: 1 DIF: Level B NCTM 9-12.GEO.3.a Ch. 4 Test, Level B Comprehension REF: STA: KEY: NOT: Geo.04.TestB.Eng.21 MO.MOGCLE.MTH.07.GEO.G.3.A.1 Pre-made Test | transformations 978-0-618-65613-4 PTS: 1 DIF: Level B NAT: NCTM 9-12.GEO.3.a TOP: Ch. 4 Test, Level B BLM: Comprehension 19. ANS: right isosceles REF: STA: KEY: NOT: Geo.04.TestB.Eng.22 MO.MOGCLE.MTH.07.GEO.G.3.A.1 Pre-made Test | transformations 978-0-618-65613-4 PTS: 1 DIF: Level A REF: Geo.04.Quiz1.Eng.01 NAT: NCTM 9-12.GEO.1.a TOP: Quiz 1 KEY: classifying triangles | isosceles triangles | right triangles BLM: Comprehension NOT: 978-0-618-65613-4 20. ANS: acute scalene PTS: NAT: KEY: NOT: 1 DIF: Level A REF: Geo.04.Quiz1.Eng.03 NCTM 9-12.GEO.1.a TOP: Quiz 1 classifying triangles | acute triangle | scaleneBLM: Comprehension 978-0-618-65613-4
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