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Name _________________________________________
CHAPTER
1
Take Home Test (10 points)
For use after the chapter “Essentials of Geometry”
In Exercises 1-3, use the diagram.
1. Give two other names for AB .
2. Name three points that are collinear.
3. Name a point not coplanar with
A, C, and T.
In Exercises 4-6, use the diagram.
4. What is another name for XW ?
5. Name all rays with endpoint X.
6. Give another name for WX .
Find the indicated length.
7. YZ
8. LN
Find the exact distance between the points.
9. A(2, 3) and B(4, 9)
Find the coordinates of the midpoint of the segment with the
given endpoints.
10. A(–1, 4) and B(3, 6)
Date ____________________
Name _________________________________________
CHAPTER
1
Date ____________________
For use after the chapter “Essentials of Geometry”
In Exercises 11-13, use the diagram to find the measure of the
indicated angle. Then classify the angle.
11.  JNK
12.  KNM
13.  LNM
In Exercises 14-25,  1 and  2 are complementary angles.
Given the measure of  1, find m  2.
14. m  1 = 87º
15. m  1 = 15º
In Exercises 16-17,  1 and  2 are supplementary angles.
Given the measure of  1, find m  2.
17. m  1 = 115º
In Exercises 18-20, use the diagram. Tell whether the angles
are vertical angles, a linear pair, or neither.
18.  1 and  2
19.  2 and  5
20.  1 and  4
Classify the polygon by the number of sides.
21.
22.
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
16. m  1 = 87º
Tell whether the polygon is convex or concave.
23.
24.
25. The diagram shows three
houses on a street. Find the
distance from House A to
House C.
In each diagram, M is the midpoint of the segment. Find the
indicated length.
6. CG
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Find the exact distance between the points.
26. D and E
Use the endpoint and midpoint M of the segment to find the
coordinates of the other endpoint.
27. AB ; A(–1, 3), M(3, 1)
Use the given information to find the value of x.
28.  WXZ   ZXY
Geometry
Assessment Book
Name _________________________________________ Date
CHAPTER
1
____________________
For use after the chapter “Essentials of Geometry”
29. Given that  1 is a complement of  2 and m  2 = 17º, find m  1.
30. Given that  3 is a supplement of  4 and m  3 = 46º, find m  4.
31. Two angles form a linear pair. The measure of one angle is four times
greater than the measure of the other angle. Find the measure of each
angle.
32. Two angles form a linear pair. The measure of one angle is six more
than twice the measure of the other angle. Find the measure of each
angle.
Classify the polygon by the number of sides. Tell whether the
polygon is equilateral, equiangular, or regular. Explain your
reasoning.
33.
34.
35. The lengths of two sides of a regular hexagon are 3x – 8 and 2x – 1.
Find the length of each side of the hexagon.
Exercises 36-39, use the diagram.
36. Name the intersection ofAL and LO .
37. Name the intersection of plane ABC
and plane LOD.
38. Name three planes that intersect at
point O.
39. Name three lines that intersect at
point N.
40. The midpoint of FG is M(–1, 3). One endpoint is F(–2, 5). Find the
coordinates of endpoint G.
41. Given that m  QRT = 95º, find
m  QRS and m  SRT.
42. Given that  ABD is a straight
angle, find m  ABC and
m  CBD.
43. Given that  XYZ and  LMN are
complementary angles, find
m  XYZ and m  LMN.
44. Given that  QRS and  EFG are
supplementary angles, find
m  QRS and m  EFG.
Geometry
Assessment Book
Name _________________________________________
CHAPTER
1
Date ____________________
Chapter Test C
continued
For use after the chapter “Essentials of Geometry”
45.  FGH and  HGJ form a linear pair. Find the measures of the
angles if m  FGH = 11xº and m  HGJ = (6x – 7)º.
46. A regular triangle
47. A quadrilateral that is
equilateral but not equiangular
48. A concave pentagon
49. An isosceles triangle that is not
equiangular
50. Tony walks from point A to
point B and then from point B
to point C as shown in the
diagram. How many feet could
he have saved by walking on
the diagonal sidewalk from
point A directly to point C?
Round your answer to the
nearest foot. The distance
between consecutive grid
lines represents 4 feet.
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Draw a figure that fits the description.
Answers for Essentials of Geometry
Chapter Test A
1. BA , f
2. A, C, and G
3. B
4. XY or WY
5. XY , XW , XA , XB 6. WY 7. 4.6 cm
8. 2.2 cm 9. 18 10. 37 11. 40 12. 29
13. (1, 5) 14. (–1, –2)
15. 34°; acute
16. 146°; obtuse 17. 90°; right 18. 3° 19. 75°
20. 19° 21. 172° 22. 93°
23. 65° 24. linear
pair 25. vertical angles 26. neither 27. heptagon 28. pentagon 29. concave 30. convex
Chapter Test B
1. false
2. true
3. true
4. 150 ft
5. 7
6. 38
20 8. 10 9. 17 10. (7, – 1)
11. (–6, 7) 12. 5 13. 24 14. 73º 15. 134º
16. 36º; 144º 17. 58º; 122º 18. always
19. never 20. sometimes 21. sometimes
22. always 23. always 24. regular triangle; it
has all angles and sides congruent 25. equilateral;
it has all sides congruent but not all angles 26. 13
27. 135° 28. 0.5 yd
7.
Chapter Test C
1. Point L 2. AD
3. Planes LON, CNO, and ALO
4. CN , NM , and ON 5. (0, 1)
7. AB = CD =
6. (3, 4)
20; AB  CD
8. WX = 17 ; YZ = 13 ; WX ≇ YZ
9. m  QRS = 30º; m  SRT = 65º
10. m  ABC = 35º; m  CBD = 145º
11. m  XYZ = 24º; m  LMN = 66º
12. m  QRS = 67º; m  EFG = 113º
13. m  FGH = 121º; m  HGJ = 59º
14. m  LMN = 85º; m  NMO = 95º
15.
16.
17. Sample answer:
18. Sample answer:
19. always
22. always
20. sometimes 21. sometimes
23. 9 ft