Download Geometry Review Worksheet

Geometry Review Worksheet
Chapter 6
Name:
Fill in an answer for #1-13.
1. Write two pairs of opposite sides.
2. Write two pairs of opposite angles.
use for #1-3
3. Write four pairs of consecutive angles.
4. A quadrilateral with both pairs of opposite sides parallel is a(n) ____________________.
5. A parallelogram with four right angles is a(n) ____________________.
6. A parallelogram with four congruent sides is a(n) ____________________.
7. A parallelogram with four right angles and four congruent sides is a(n) _________________.
8. A quadrilateral with exactly one pair of parallel sides is a(n) ____________________.
9. The parallel sides of a trapezoid are the ____________________ of the trapezoid.
10. The non-parallel sides of a trapezoid are the ____________________ of the trapezoid.
11. A trapezoid with congruent legs is a(n) ____________________ trapezoid.
12. The segment that joins the midpoints of the legs of a trapezoid is the __________________
of the trapezoid.
13. A quadrilateral with two distinct pairs of congruent, adjacent sides is a(n) ______________.
14. Find the sum of the measures of the interior angles of a polygon with 14 sides.
15. Find the sum of the measures of the exterior angles of a polygon with 14 sides.
16. Find the sum of the measures of the interior angles of a polygon with 17 sides.
17. Find the sum of the measures of the exterior angles of a polygon with 17 sides.
18. Find the measure of each interior angle of a regular polygon with 18 sides.
19. Find the measure of each exterior angle of a regular polygon with 18 sides.
(over)
20. Find the measure of each interior angle of a regular polygon with 9 sides.
21.. Find the measure of each exterior angle of a regular polygon with 9 sides.
For #22-23, the measure of each exterior angle of a regular polygon is 15.
22. What is the measure of each interior angle?
23. Find the number of sides of the polygon.
For #24-25, the measure of each exterior angle of a regular polygon is 18.
24. What is the measure of each interior angle?
25. Find the number of sides of the polygon.
For #26-27, the measure of each interior angle of a regular polygon is 135.
26. What is the measure of each exterior angle?
27. Find the number of sides of the polygon.
For #28-37, classify each statement as true or false. Write out your answer.
28. Every square is a rectangle.
29. Every rhombus is a square.
30. Diagonals of a kite are perpendicular.
31. Opposite angles of a trapezoid are congruent.
32. Diagonals of an isosceles trapezoid are congruent.
33. Diagonals of a parallelogram bisect each other.
34. Diagonals of a rhombus bisect pairs of opposite angles.
35. Some parallelograms are trapezoids.
36. Some parallelograms are kites.
37. Some parallelograms are rectangles.
For #38-46, quad.GEOM is a parallelogram.
38. If EO = 8, then GM = ________
39. If TM = 7, then ET = ________ and EM = ________
40. If OG = 21, then GT = ________
use for #38-46
41. If m<GMO= 122, then m<EGM = ________
42. If m<6 = 25 and m<5 = 78, then m<GEO = ________
43. If m<5 = 78, then m<________ = 78.
44. If m<EOM = 55, then m<EGM = ________ and m<GMO = ________
45. If EG = 5x + 18 and OM = 7x + 2, then x = ________ (Show work).
46. If OT = 8y – 3 and OG = 7y + 12, then y = ________ (Show work).
For #47-52, use the given information to determine if BENG is a parallelogram. Answer yes or
no. If your answer is yes, then write a brief reason why.
47. BL  NL and GL  EL
48. <1  <2 and <3  <4
49. <EBG  <GNE and <BGN  <BEN
use for #47-52
50. BG  EN and BE || GN
51. BG  EN and BE  GN
52. BG  EN and <1  <2
(over)
For #53-57, quad.REDS is a rectangle.
53. If RC = 12, then ES = ________
54. If SE = 17, then CD = ________
55. m<ERS = ________
use for #53-57
56. If m<1 = 58, then m<2 = ________, m<4 = ________, m<3 = ________,
m<5 = ________, m<6 = ________, m<8 = ________, m<7 = ________,
m<SCD = ________, m<ECD = ________
57. ΔRCS is a(n) ____________________ triangle.
For #58-62, quad.SPRN is a rhombus.
58. If SP = 8.2, then PR = ________
59. m<RGN = ________
60. If m<1 = 54, then m<2 = ________, m<3 = ________,
m<4 = ________,
m<5 = ________, m<6 = ________,
use for #58-62
m<7 = ________, m<8 = ________
61. ΔSPR is a(n) ____________________ triangle.
62. ΔSPG is a(n) ____________________ triangle.
For #63-67, quad.HOPE is an isosceles trapezoid.
63. If m<1 = 73, then m<2 = ________, m<3 = ________,
m<4 = ________
64. If OP = 12 and HE = 17, then FL = ________.
65. If OP = 11 and FL = 18, then HE = ________.
66. If HE = 23 and FL = 19.5, then OP = ________.
67. If HE = 54 and OP = 27, then FL = ________.
use for #63-67
For #68-73, quad.BLUS is a kite.
68. ΔBSU is a(n) ____________________ triangle.
69. ΔUKS is a(n) ____________________ triangle.
70. m<LKU = ________
71. <LBS  <________
72. BK  ________
73. If m<1 = 43 and m<LUS = 114, then
m<2 = ________, m<3 = ________, m<4 = ________,
use for #68-73
m<5 = ________, m<6 = ________, m<7 = ________,
m<8 = ________, m<BLU = ________, m<BSU = ________.
For #74-81, fill in all the quadrilaterals that fit the given condition. Choose from:
parallelogram, rectangle, rhombus, square, trapezoid, isosceles trapezoid, kite.
74. All sides are congruent
75. Diagonals are perpendicular
76. Diagonals are congruent
77. Opposite sides are congruent
78. Diagonals bisect pairs of opposite angles
79. All angles are right angles
80. Exactly one pair of parallel sides
81. Diagonals bisect each other