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Name: ________________________ Class: ___________________ Date: __________ Geo A Final Review 15-16 Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Which statement is true? a. b. c. d. ____ ∠CBA and ∠HBE are alternate interior angles. ∠EBH and ∠BED are alternate interior angles. ∠CBA and ∠EBH are same-side angles. ∠EBH and ∠BED are same-side angles. 2. Which angles are corresponding angles? a. b. ∠6 and ∠14 ∠5 and ∠6 c. d. 1 ∠2 and ∠6 none of these ID: A Name: ________________________ ____ 3. In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA? a. c. b. ____ ID: A d. 4. Which figure is a convex polygon? a. c. b. d. 2 Name: ________________________ ____ 5. Graph y = 4x + 1. a. b. ID: A c. d. 3 Name: ________________________ ____ ____ ←⎯ ⎯ → 6. Which diagram shows plane PQR and plane QRS intersecting only in QR ? a. c. b. d. 7. How are the two angles related? a. b. ____ ID: A complementary adjacent c. d. vertical supplementary 8. Write an equation in point-slope form of the line through point J(–4, –7) with slope 4. a. y + 7 = 4 ( x − 4 ) c. y − 7 = 4 ( x − 4 ) b. y + 7 = 4 ( x + 4 ) d. y + 7 = −4 ( x + 4 ) Short Answer 9. Based on the pattern, what are the next two terms of the sequence? 8 8 8 8 8, , , , ,... 3 9 27 81 4 Name: ________________________ ID: A 10. Find the value of x. The diagram is not to scale. 11. What is the intersection of plane STXW and plane TUYX? 12. Alfred is practicing typing. The first time he tested himself, he could type 35 words per minute. After practicing for a week, he could type 39 words per minute. After two weeks he could type 43 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice. 13. Identify the hypothesis and conclusion of this conditional statement: If two lines intersect at right angles, then the two lines are perpendicular. 14. Write this statement as a conditional in if-then form: All triangles have three sides. 15. ∠ABC ≅ ? 5 Name: ________________________ ID: A 16. Find BD. 17. Find the coordinates of the midpoint of the segment whose endpoints are H(2, 13) and K(4, 1). ⎯⎯ ⎯ → 18. MO bisects ∠LMN, m∠LMO = 8x − 26, and m∠NMO = 2x + 40. Solve for x and find m∠LMN. The diagram is not to scale. 19. Find the midpoint of PQ. 6 Name: ________________________ ID: A 20. Classify the polygon by its sides. 21. If EF = 4x − 14, FG = 3x − 7, and EG = 21, find the values of x, EF, and FG. The drawing is not to scale. 22. Name the Property of Congruence that justifies the statement: If RS ≅ UW, then UW ≅ RS. ⎯⎯ ⎯ → 23. Name the ray that is opposite FH . 24. Name the intersection of plane CQR and plane PQR. 25. Find the value of x. 26. Name the Property of Equality that justifies the statement: If m = n, then n = m. 7 Name: ________________________ ID: A 27. Based on the pattern, what is the next figure in the sequence? 28. Are C, B, and D collinear? If so, name the line on which they lie. 29. Classify ΔABC by its angles, when m∠A = 32, m∠B = 90, and m∠C = 58. 30. Name the ray in the figure. 31. If m∠BOC = 25 and m∠AOC = 48, then what is the measure of ∠AOB? The diagram is not to scale. 32. Use the Law of Detachment to draw a conclusion from the two given statements. If two angles are congruent, then they have equal measures. ∠X and ∠Z are congruent. 33. Name the plane represented by the front of the box. 8 Name: ________________________ ID: A 34. Find the sum of the measures of the angles of the figure. 35. Name a fourth point in plane STZ. 9 ID: A Geo A Final Review 15-16 Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. B A D D B C D B SHORT ANSWER 8 8 , 243 729 10. 76 9. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. ←⎯ ⎯ → TX 51 words per minute Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are perpendicular. If a figure is a triangle, then it has three sides. ∠MNP 10 (3, 7) x = 11, m∠LMN = 124 (–1, –5) pentagon x = 6, EF = 10, FG = 11 Symmetric Property ⎯⎯ → 23. FE 24. QR 25. –14 26. Symmetric Property 27. 28. No, the three points are not collinear. 29. right ⎯⎯ ⎯ → 30. CD 31. 23 32. m∠X = m∠Z 1 ID: A 33. GBF 34. 900 35. Y 2