Geometry CPName______
Chapter 1 Midterm Review
Use the diagram below to complete the following.1. Give two other names for . 2. Name three points that are collinear.
3. Give another name for plane F. 4. Name a point that is not coplanar with A, B, and C.
5. Give another name for 6. Name three rays with endpoint B.
7. Name a pair of opposite rays. 8. Give another name for .
Use the diagram below to complete the following.
9. Are points J, K, and L collinear? 10. Are points J, K, and L coplanar?
11. Are points J, K, and M collinear? 12. Are points J, K, and M coplanar?
13. Name the intersection of and . 14. Name the intersection of and plane KMN.
15. Name the intersection of plane R and plane S. 16. Name three pairs of opposite rays.
You are given an equation of a line and a point. Use substitution to determine whether the point is on the line.
17. y =x + 4; A(3, 7) / 18. y = x –5; A(1, 6) / 19. y = –x –2; A(–8, –10)
Find the indicated length.
20. Find GJ.
/ 21. Find KM.
22. Find ST.
/ 23. Find UV.
Plot the given points in a coordinate plane. Then determine whether the line segments named are congruent. / Use the number line to find the indicated distance.
24. A(2, 2), B(2, 1), C(0, 2), D(3, 2); and . /
25. JK 26. KL
27. LM 28. JL
29. JM 30. KM
Line l bisects the segment. Find the indicated length.
31. Find AC if AB = 6 cm.
/ 32. Find GJ if HJ = 8
In each diagram M is the midpoint of the segment. Find the indicated length.
33. Find XM.
/ 34. Find JK.
Find the coordinates of the midpoint of the segment with the given endpoints.
35. R(3, 1) and S(3, 7) / 36. V(2, 4) and W(6, 6)
Use the given endpoint Y and midpoint M of to find the coordinates of the other endpoint Z.
37. Y(0, 5), M(3, 3) / 38. Y(–l, –3), M(5, 9)
Find the length of the segment. Round to the nearest tenth of a unit.
39.
/ 40.
Write three names for the angle shown. Then name the vertex and sides of the angle.
41. / 42.
Classify the angle with the given measure as acute, right or obtuse.
43. mA = 115° / 44. mA = 85° / 45. mA = 90° / 46. mA = 170°
Find the indicated angle measure.
47. mPRS = __?__
/
48. mWXZ = __?__
Use the given information to find the indicated angle measure.
49. Given mADC = 135°, find mBDC.
/
50. Given mNRQ = 78°, find mPRQ.
Given that bisectsWXY, find the two angle measures not given in the diagram.
51.
/ 52.
In each diagram bisects ABC. Find m ABC.
53. / 54.
1 and 2 are complementary angles. Given the m1, find m2. / 1 and 2 are supplementary angles. Given the m1, find m2.
55. m 1=52
56. m 1=76
57. m 1=19 / 58. m1=94
59. m1 =38
60. m1=121
Find mABD and mDBC.
61.
/ 62.
Find the values of x and y.
63.
/ 64.
Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave.
65. / 66. / 67.
Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning.
68.
/ 69.
/ 70.
Tell whether the statement is always, sometimes or never true.
71. A convex polygon is regular. / 72. A regular pentagon is equilateral. / 73. A regular heptagon is concave. / 74. A square is convex.
Each figure is a regular polygon. Expression are given for two side length. Find the value of x.
75. / 76. / 78.
Find the perimeter and area of the figure.
79. / 80. / 81.
Find the circumference and area if the circle. Round to the nearest tenth.
82. / 83. / 84.
Use the information about the figure to find the indicated measure.
85.Perimeter = 84 ft; Find the length, l.
/ 86. Area = 189 cm2 ; Find the height, h.
Answer the following to the best of your ability.
87. Line CD bisects at point C. Find AC if AB = 56 feet. / 88. Name a pair of complementary angles and a pair of supplementary angles.