Name___________________________________________________________Period__________Date_________________________
Geometry Ch. 1 Review
Complete each sentence.
1. Points that lie on the same line are called _____________________________points.
2. Points that do not lie in the same plane care called ___________________________points.
3. There is exactly one _________________________through any two points.
4. There is exactly one _________________________through any three non-collinear points.
Refer to the figure at the right. Indicate whether each statement is true or false.
5. Points A, B, and C are collinear.
6. The intersection of plane ABC and line m is
point P.
7. Line l and line m do not intersect.
8. Points A, P, and B can be used to name plane U.
9. Line n lies in plane ACB.
Find the measurement of each segment. Assume that the drawing is not to scale.
10. RT and AC
11. BC and WY
In the diagram, PR  RT , S is the midpoint of RT , QR = 4, and ST = 5. Complete the sentences.
12. RS=_______
13. RT=_______
14. PR=_______
15. PQ=_______
Use the number line to find each measure.
16. BD
17. DG
18. AF
19. EF
20. BG
21.AG
Use the distance formula to find the distance between each pair of points.
22. A(0,0), B(15,20)
23. C(11,-12), D(6,2)
24. E(-2,10), F(-4,3)
Find the coordinates of the midpoint of a segment having the given endpoints.
25. A(0,0), B(12,8)
26. M(11,-2), N(-9,13)
27. S(10,-22), T(9,10)
Refer to the figure.
28. How many planes are shown in the figure?
29. Name three collinear points.
30. Are points M, L, K, and F coplanar.
31. Give another name for plane P.
32. How many planes contain points K and L.
33. Name 5 points that are coplanar.
34. Name the intersection of plane HEK and a plane that contains points G and M.
Use the figure to find the angles. ABOR
35. Name a pair of acute vertical angles.
36. Name an angle that forms a linear pair with
ADQ.
37. Name an acute angle adjacent to PDB.
38. Name an angle complementary to RDQ.
39. Name an angle supplementary to ADE.
40. Name an obtuse vertical angle to CDB.
Match each formula or expression in the first column with one of the names in the second column.
41. d  (x 2  x 1)2  (y 2  y1)2
a. Pythagorean Theorem
ab
42. 2
b. Distance Formula in the Coordinate Plane
43.
XY  a  b
c. Midpoint of a Segment in the Coordinate Plane
44. c2 = a2 + b2
d. Distance Formula on a Number Line
x1  x2 y1  y2
,
)
2
2
45.
e. Midpoint of a Segment on a Number Line
(
For exercises 46-55, use the figure at the right.
Name the vertex of each angle.
46. 5
47. 3
48. 8
49. NMP
Name the sides of each angle.
50. 6
51. 2
52. MOP
53. OMN
Write another name for each angle.
54. QPR
55. 1
56. Find x and y so that ABDE.
57. If mEBF = 7y-3 and mFBC = 3y+3, find y so that
EBBC .
Name each polygon by its number of sides, classify it as convex or concave and regular or irregular and then
determine its perimeter.
58.
59.
60. Two angles are supplementary. One angle measures 15 less than the other one. Find the measure of
the two angles.
61. 13. m1 = 70-x and m3 = 6x. Find x and the measure of each angle.
62. 2 and 4 form a linear pair. m2 = 2x-8 and m4 = 116. Find x and the measure of each angle.
E is the midpoint of DF . Find the value of x.
63. DE=5x+3, EF=33
64. DE=3x, EF=x+6
65. DE=2x-3, EF=5x-24
Answers: Ch. 1 Review
1) collinear
2) non-coplanar
3) line
4) plane
5) false
6) true
7) false
8) false
9) true
10) RT  4.5cm , AC  4.25in
11) BC  4.0cm , WY  3.0in
12) RS=5
13) RT=10
14) PR=10
15) PQ=6
16) BD=6
17) DG=9
18)AF=12
19)EF=3
20)BG=15
21)AG=17
22) 625  25
23) 221 14.9
24) 53  7.3
25) (6,4)
26)
(1,
11
)
2
19
( , 6)
27) 2
28) 6 planes
29) L, M, H
30) no
31)plane EKM, plane HME, any 3 con-collinear points from bottom plane
32) 2
33) E, K, L, M, H
34) line HL or line LM or line HM
35) ADC and BDQ or CDO and QDR or EDO and RDS
36)BDQ or ADC
37)EDP or BDQ
38)BDQ or ADV
39)EDB or ADS
40) ADQ
41) b
42. e
43. d
44. a
46. M
47. P
48. O
49. M
50. ray NO, ray NM
51. ray PR, ray PM
52. ray OP, ray OM
53. ray MO, ray MN
54. 3
55. NPM or OPM
56. x=15, y=8
57. Y=9
58. heptagon, convex, regular, P=42
59. hexagon, concave, irregular, P=36
60. 97.5, 82.5
61. x=10, 1 = 3 = 60
62. x=36, 2 = 64, 4=116
63. x=6
64. x=3
65. x=7
45. c