Name:
Class:
Date:
REVIEW: Tools of Geometry -- Chapter 1
Indicate the answer choice that best completes the
statement or answers the question.
Use the figure below to answer the following
questions.
Find the measurement of each segment. Figures
are not drawn to scale.
6.
7.
1. Which three points in the figure are collinear?
a. C, D,
b. A, E,
c. B, C,
d. A, D,
F
F
D
E
8.
2. Name the intersection of the plane that contains
points A, B, and D and the plane P.
a. point
D
b. triangle
BCD
c.
d.
ALGEBRA Find the value of x and KL if K is
between J and L.
9. JK = 6x, KL = 3x, and JL = 27
Refer to the figure.
10. JK = 2x, KL = x + 2, and JL = 5x – 10
Find the distance between each pair of points.
11.
3. Name a line that contains points T and P.
4. Name a line that intersects the plane containing points
Q, N, and P.
5. Name the plane that contains
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and
.
Page 1
Name:
Class:
Date:
REVIEW: Tools of Geometry -- Chapter 1
12.
Indicate the answer choice that best completes the
statement or answers the question.
Use the number line to find the coordinate of
the point the given fractional distance from A to
B.
20.
13. L(–7, 0), Y(5, 9)
a. 4
b. 1
c. –3
d. 9
14. U(1, 3), B(4, 6)
Find the coordinates of the midpoint of a
segment with the given endpoints.
15. K(–9, 3), H(5, 7)
21.
a. 3
b. 2
c. 7
d. – 5
16. W(–12, –7), T(–8, –4)
Find the coordinates of the missing endpoint if
E is the midpoint of
.
17. F(5, 8), E(4, 3)
22.
a. 7.2
b. 0.2
c. – 2.2
d. 12.2
18. F(2, 9), E(–1, 6)
19. D(–3, –8), E(1, –2)
23.
a. 3
b. 10
c. 15
d. – 5
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Page 2
Name:
Class:
Date:
REVIEW: Tools of Geometry -- Chapter 1
Find P on
that is the given fractional
distance from N to M.
Name the sides of each angle. Use the figure
below.
24. , N(1, 7), M(9, – 2)
a.
b.
c.
d.
29. 2
25.
a.
b.
c.
30. MOP
31. OMN
Write another name for each angle. Use the
figure below.
d.
Name the vertex of each angle. Use the figure
below.
32. QPR
26. 3
27. 8
28. NMP
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Page 3
Name:
Class:
Date:
REVIEW: Tools of Geometry -- Chapter 1
Classify each angle as right, acute, or obtuse.
Then use a protractor to measure the angle to
the nearest degree.
41. ALGEBRA If a supplement of an angle has a
measure 78 less than the measure of the angle, what
are the measures of the angles?
ALGEBRA Use the figure.
33.
34.
35.
42. If m FGE = 5x + 10, find the value of x so that
.
Name an angle or angle pair that satisfies each
condition.
43. If m BGC = 16x – 4 and m CGD = 2x + 13, find
the value of x so that BGD is a right angle.
Name each polygon by its number of sides and
then classify it as convex or concave and regular
or irregular.
44.
36. Name two obtuse vertical angles.
37. Name a linear pair with vertex B.
38. Name an angle not adjacent to, but complementary to
FGC.
45.
46.
39. Name an angle adjacent and supplementary to
DCB.
40. ALGEBRA Two angles are complementary. The
measure of one angle is 21 more than twice the
measure of the other angle. Find the measures of the
angles.
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Page 4
Name:
Class:
Date:
REVIEW: Tools of Geometry -- Chapter 1
Find the perimeter or circumference and area of
each figure. Round to the nearest tenth.
47.
48.
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Page 5
Name:
Class:
Date:
REVIEW: Tools of Geometry -- Chapter 1
27. O
Answer Key
28. M
1. d
29.
2. d
,
30.
,
4. Line j or
31.
,
5. plane QPT
32. 3
6. 23.1 cm
33. right, 90°
3. Line g,
,
,
34. obtuse, 110°
7.
in.
35. acute, 20°
8. 10.4 cm
36.
9. 3; 9
37. GBC, ABC
10. 6; 8
38. FED
11.
39. DCH
12.
40. 23, 67
13. 15
41. 129, 51
14.
15. (–2, 5)
16. (–10, –5.5)
17. D(3, –2)
18. D(–4, 3)
GFH, CFE
42. 16
43. 4.5
44. hexagon; concave; irregular
45. nonagon; convex; regular
46. quadrilateral; convex; irregular
19. F(5, 4)
47. 42 ft; 68 ft2
20. c
48. 44.0 mi; 153.9 mi2
21. d
22. b
23. a
24. a
25. b
26. P
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Page 6