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d) 61 sq. units GEOMETRY Final Review #2 13 1. The area of the triangle is a) 25 sq. units b) 35 sq. units c) 45 sq. units d) 50 sq. units 10 22 7 9 5 10 2. The length of the side "x" is a) 3 b) 3 c) 45 6 6. Based on the markings shown, which of these is a true statement ? ABC XYZ by AAA b) ABC YXZ by AAS c) ABC ZXY by SAS d) ABC XYZ by ASA 2 7. x = ? a) 8 b) 41 c) 68 d) 52 41 d) X+24 3. The area of the rectangle is a) 30 sq. units b) 32 sq. units c) 60 sq. units d) 16 sq. units 2X 8. In the figure at the figure below how would you prove that the two triangles are congruent ? 10 6 a) ASA b) HL c) HA d) SSS 4. Find the area for the following a) 12 sq. units b) 12x sq. units c) 17xy sq. units d) 12xy sq. units 3x 2y x For problems 9 - 11 use the diagram. 3y A E 65 45 NAME:___________________________________ B 5. What is the area of the shape? a) 164 sq. units b) 41 sq. units c) 328 sq. units 9. m ACB = ? 10. m ACD = ? C a) 70 a) 65 b) 45 b) 110 D c) 110 c) 115 d) 65 d) 45 a) 11. m CAE = ? a) 45 b) 110 c) 70 ASA b) AAS c) HL d) not congruent d) 135 Y 12. x = ? a) 114 b) 167 c) 53 d) 66 13. x = ? a) 32 b) 148 c) 122 d) 58 X W Z 122 19. In the parallelogram below how could you prove that triangle WYZ is congruent to triangle ZXW? a) ASA b) ASS X c) SSS d) AAA W x 14. Two sides of a triangle are 3 and 8. What is the range of possible values for the length of side "x" a) c) x = square root of 73 b) 3 < x < 8 5 < x < 11 d) x = 22 15. The transformation shown is an example of a: a) translation c) isometric Z 20. If triangle DOG is congruent to triangle CAT then which of the following is true? a) c) b) 50 b) DO = AT d) DG = CT (3,6) b) (2,7) c) (4,5) d) (2,3) For problems 22 - 33 choose the appropriate description to match the given picture. 16. Solve for A. 40 DG = CA GO = AC 21. Find the midpoint of the segment connecting the points (1,3) and (5,9). b) rotation d) reflection a) a) Y c) 60 d) 70 22. a) adjacent angles c) complementary angles b) supplementary angles d) vertical angle 120 A 17. How would you prove that the triangles are congruent? a) HL b) ASA c) SSS d) SAS 23. a) perpendicular lines c) alternate interior angles 24. a) right triangle c) isosceles triangle 18. In the figure below you could prove that triangle ZYX congruent to triangle XWZ by b) corresponding angles d) vertical angles b) scalene triangle d) equilateral triangle 25. a) complementary angles b) obtuse angle c) corresponding angles d) supplementary angles 26. a) straight angle c) right angle 33. a) isosceles triangle b) scalene triangle c) equilateral triangle d) obtuse triangle b) exterior angle d) acute angle 34. Adjacent angles: a) are complementary b) share common interior points c) are supplementary d) share a common side this angle 27. a) isosceles triangle c) pyramid b) prism d) tetrahedron 35. Find the area of the isosceles triangle. 5 6 28. a) isosceles triangle c) prism b) scalene triangle d) right triangle a) 36. If 29. a) straight angle c) obtuse angle b) acute angle d) complementary angle 30 b) 12 OGD a) THA c) 15 d) 24 HAT then DOG b) TAH c) OGD d) GDO 37. What is the length of the third side of a triangle whose other two sides are 5 and 13? 30. a) complementary angles c) corresponding angles b) alternate interior angles d) supplementary angles a) c) 5 < x < 13 8 < x < 13 b) 5 < x < 18 d) 8 < x < 18 38. Find the measure of x This angle This angle 31. a) parallel lines c) acute angle a) 23.5 b) 37 c) 40 d) 46 60 b) straight angle d) perpendicular lines 2X X 39. Find the perimeter 32. a) scalene angles c) alternate interior angles b) corresponding angles d) exterior angles This angle a) b) c) d) 4 12 6 15 5 This angle 3 40. Solve for x d) If the corresponding angles are congruent then the two line are parallel 3x - 11 2x + 5 a) 40.75 b) 16 c) 49 d) 37.2 41. Triangle ABC is congruent to triangle RPX Solve for x X A 9 C 6 B 8 2x + 1 R a) 2.5 b) 3.5 c) 4 P d) 180 42. Find the shaded area 2 3 15 18 a) 264 b) 129 c) 160 d) 147 43. Find the area a) 104 b) 52 c) 128 d) 64 13 16 8 44. Write the converse of the statement “If two lines are parallel then the corresponding angles are congruent” a) If two lines are parallel then the alternate interior angles are congruent. b) It two lines are parallel then the interior angles on the same side of the transversal are congruent. c) If the alternate interior angles are congruent then the line are parallel