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Name: ________________________________ Date: ___________ Honors Geometry Unit 6 Pre-Assessment 1. How many total degrees are in the interior angles of a triangle? A. 90 B. 180 C. 360 2. Which congruence property is being demonstrated in the following statement? AB ≅ AB A. Reflexive B. Symmetric C. Transitive 3. A triangle with three congruent sides is called ______________________. A. Equilateral B. Isosceles C. Scalene 4. Fill in the blank. Which postulate would you use in order to prove the triangles are congruent? SSS, SAS, or not enough information. _______________________ 5. Prove the two triangles are congruent using a two column proof A Statements D C B Reasons Name: ________________________________ Date: ___________ Honors Geometry Unit 6 Exam This exam is worth 100 points. Multiple Choice. For questions 1-10, circle the letter of the correct answer. (2 points each) 1. Which congruence property is being demonstrated in the following statement? AB ≅ AB A. Reflexive B. Symmetric C. Transitive 2. Which congruence property is being demonstrated in the following statement? If ∠X ≅ ∠Y and ∠Y ≅ ∠Z, then ∠X ≅ ∠Z. A. Reflexive B. Symmetric C. Transitive 3. Which congruence property is being demonstrated in the following statement? ∠H ≅ ∠H A. Reflexive B. Symmetric C. Transitive 4. Which congruence property is being demonstrated in the following statement? If ∠DEF ≅ ∠HJK, then ∠HJK ≅ ∠DEF. A. Reflexive B. Symmetric C. Transitive 5. Which congruence property is being demonstrated in the following statement? If EF ≅ RS and RS ≅ UV, then EF ≅ UV. A. Reflexive B. Symmetric C. Transitive 6. Which congruence property is being demonstrated in the following statement? If XY ≅ GH, then GH ≅ XY. A. Reflexive B. Symmetric C. Transitive 7. A triangle with three congruent sides is called ______________________. A. Equilateral B. Isosceles C. Scalene 8. A triangle with no congruent sides is called ______________________. A. Equilateral B. Isosceles C. Scalene 9. A triangle with at least two congruent sides is called ______________________. A. Equilateral B. Isosceles C. Scalene 10. How many total degrees are in the interior angles of a triangle? A. 90 B. 180 C. 360 Fill in the Blank. For questions 11-17, which postulate would you use in order to prove the triangles are congruent? SSS, SAS, or not enough information. (4 points each) 11. _________________________________ 12. _________________________________ 13. _________________________________ 14. _________________________________ 15. _________________________________ 16. _________________________________ 17. _________________________________ Short answer. For questions 18 and 19 prove the two triangles are congruent using a two column proof. (16 points each) 18. H Q P M R Statements Reasons 19. A D B C Statements Reasons Written Response. (20 points) 20. ΔABC ≅ ΔXYZ C 70◦ A X a◦ x◦ 70◦ B Z z◦ y◦ Y a. List all corresponding parts. Be sure your answer is in the form of congruence statements. b. Find the indicated angle measure. Justify your answer. Name: _______ANSWER KEY________________ Date: ___________ Honors Geometry Unit 6 Exam This exam is worth 100 points. Multiple Choice. For questions 1-10, circle the letter of the correct answer. (2 points each) 1. Which congruence property is being demonstrated in the following statement? AB ≅ AB A. Reflexive B. Symmetric C. Transitive 2. Which congruence property is being demonstrated in the following statement? If ∠X ≅ ∠Y and ∠Y ≅ ∠Z, then ∠X ≅ ∠Z. A. Reflexive B. Symmetric C. Transitive 3. Which congruence property is being demonstrated in the following statement? ∠H ≅ ∠H A. Reflexive B. Symmetric C. Transitive 4. Which congruence property is being demonstrated in the following statement? If ∠DEF ≅ ∠HJK, then ∠HJK ≅ ∠DEF. A. Reflexive B. Symmetric C. Transitive 5. Which congruence property is being demonstrated in the following statement? If EF ≅ RS and RS ≅ UV, then EF ≅ UV. A. Reflexive B. Symmetric C. Transitive 6. Which congruence property is being demonstrated in the following statement? If XY ≅ GH, then GH ≅ XY. A. Reflexive B. Symmetric C. Transitive 7. A triangle with three congruent sides is called ______________________. A. Equilateral B. Isosceles C. Scalene 8. A triangle with no congruent sides is called ______________________. A. Equilateral B. Isosceles C. Scalene 9. A triangle with at least two congruent sides is called ______________________. A. Equilateral B. Isosceles C. Scalene 10. How many total degrees are in the interior angles of a triangle? A. 90 B. 180 C. 360 Fill in the Blank. For questions 11-17, which postulate would you use in order to prove the triangles are congruent? SSS, SAS, or not enough information. (4 points each) 11. __________SAS_______________________ 12. _Not enough information__ 13. _____SSS___________________________ 15. __Not enough information___________ 17. ______SAS___________________________ 14. __Not enough information____________ 16. ______SSS_________________________ Short answer. For questions 18 and 19 prove the two triangles are congruent using a two column proof. (16 points each) 18. H Q P M R Statements Reasons HP ≅ QP ∠HPM ≅ ∠QPR PM ≅ PR ΔHPM ≅ ΔQPR Given Vertical angles are ≅ Given SAS 19. A D B C Statements Reasons AB ≅ CB DB ≅ DB AD ≅ CD ΔABD ≅ ΔCBD Given Reflexive Property Given SSS Written Response. (20 points) 20. ΔABC ≅ ΔXYZ C 70◦ A X a◦ x◦ 70◦ B Z z◦ y◦ Y a. List all corresponding parts. Be sure your answer is in the form of congruence statements. AB ≅ XY ∠A ≅ ∠X BC ≅ YZ ∠B ≅ ∠Y CA ≅ ZX ∠C ≅ ∠Z b. Find the indicated angle measure. Justify your answer. x = 40 because 180-70-70=40 y = 70 because ∠Y ≅ ∠B = 70 z = 70 because ∠Z ≅ ∠C= 70 18 – 19 Scoring Guide Statements (2 points each)* Reasons (2 points each) HP ≅ QP MP ≅ RP ∠HPM ≅ ∠QPR ΔHPM ≅ ΔQPR Given Given Vertical angles are congruent SAS Total: Statements (2 points each)* Reasons (2 points each) AB ≅ CB DC ≅ DA DB ≅ DB ΔABD ≅ ΔCBD Given Given Reflexive Property SSS Total: /16 /16 *Statements can be written in reverse order, but relation must still be congruent. Rubric for Written Response Part a: 1 point for correctly identifying all corresponding parts OR ½ point for correctly identifying most corresponding parts Part b: 1 point for identifying all angle measures AND 1 point for justifying all angle measurements that were determined Score 4 (justification is written in complete sentences and correct vocabulary is used) 3 2 1 Description Students earns 4 points. 0 Blank Students earn 3 to 3 ½ points, Students earn 1 ½ to 2 ½ points Students earn ½ to 1 point OR Student shows minimal attempt to list corresponding parts or to determine the angle measures