Download Tests B and C - Doug Lynam`s Geometry

Name _________________________________________ Date
CHAPTER
1
____________________
Chapter Test B
For use after the chapter “Essentials of Geometry”
In Exercises 1-3, use the diagram to decide whether the
statement is true or false.
Answers
1. _____________
1. Point R lies on line g.
2. _____________
2. Points A, M, R, and Z are coplanar.
3. _____________
3. Points A and Q are collinear.
4. _____________
5. _____________
4. The diagram shows three
houses on a street. Find the
distance from House A to
House C.
6. _____________
7. _____________
In each diagram, M is the midpoint of the segment. Find the
indicated length.
5. XM
6. CG
8. _____________
9. _____________
10. _____________
11. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Find the exact distance between the points.
7. A and B
12. _____________
13. _____________
8. C and F
9. D and E
Use the endpoint and midpoint M of the segment to find the
coordinates of the other endpoint.
10. AB ; A(–1, 3), M(3, 1)
11. CD ; C(–2, –3), M(–4, 2)
Use the given information to find the value of x.
12.  ABD   DBC
13.  WXZ   ZXY
Geometry
Assessment Book
Name _________________________________________ Date
CHAPTER
1
____________________
Chapter Test B continued
For use after the chapter “Essentials of Geometry”
14. Given that  1 is a complement of  2 and m  2 = 17º, find m  1.
Answers
15. Given that  3 is a supplement of  4 and m  3 = 46º, find m  4.
14. _____________
16. 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.
15. _____________
17. 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.
17. _____________
Tell whether the statement is always, sometimes, or
never true.
19. _____________
16. _____________
18. _____________
20. _____________
18. A pentagon is a plane figure.
19. A triangle is concave.
21. _____________
20. A hexagon has six congruent sides.
22. _____________
21. A quadrilateral is equiangular but not equilateral.
23. _____________
22. The complement of an acute angle is an acute angle.
24. _____________
23. The supplement of an acute angle is an obtuse angle.
Classify the polygon by the number of sides. Tell whether the
polygon is equilateral, equiangular, or regular. Explain your
reasoning.
24.
25. _____________
_____________
25.
26. _____________
27. _____________
28. _____________
26. The lengths of two sides of a regular hexagon are 3x – 8 and 2x – 1.
Find the length of each side of the hexagon.
27. The expressions (5x + 5)° and (4x + 13)° represent the measures of
two angles of a regular octagon. Find the measure of an angle of the
octagon.
28. Joe ran from Point A to Point
C and Mike ran from Point B to
Point C. About how much farther
did Joe run than Mike? Round
your answer to the nearest tenth.
The distance between consecutive
grid lines represents 1 yard.
Geometry
Assessment Book
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
_____________
Name _________________________________________
CHAPTER
1
Date ____________________
Chapter Test C
For use after the chapter “Essentials of Geometry”
In Exercises 1-4, use the diagram.
1. Name the intersection of AL and LO .
1. _____________
2. Name the intersection of plane ABC
and plane LOD.
2. _____________
3. Name three planes that intersect at
point O.
4. Name three lines that intersect at
point N.
5. The midpoint of FG is M(–1, 3). One endpoint is F(–2, 5). Find the
coordinates of endpoint G.
6. The midpoint of QR is M(2, 1.5). One endpoint is R(1, –1). Find the
coordinates of endpoint Q.
The endpoints of two segments are given. Find the exact
length of each segment. Tell whether the segments are
congruent.
7. AB ; A(1, 1), B(5, 3)
CD ; C(–3, –2), D(–1, 2)
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Answers
8. WX ; W(1, 2), X(5, 1)
YZ ; Y(4, 1), Z(2, 4)
9. Given that m  QRT = 95º, find
m  QRS and m  SRT.
3. _____________
_____________
4. _____________
_____________
5. _____________
6. _____________
7. _____________
_____________
8. _____________
_____________
_____________
9. _____________
10. Given that  ABD is a straight
angle, find m  ABC and
m  CBD.
11. Given that  XYZ and  LMN are
complementary angles, find
m  XYZ and m  LMN.
_____________
10. _____________
_____________
11. _____________
_____________
12. Given that  QRS and  EFG are
supplementary angles, find
m  QRS and m  EFG.
12. _____________
_____________
Geometry
Assessment Book
Name _________________________________________
CHAPTER
1
Date ____________________
Chapter Test C
continued
For use after the chapter “Essentials of Geometry”
13.  FGH and  HGJ form a linear pair. Find the measures of the
angles if m  FGH = 11xº and m  HGJ = (6x – 7)º.
14.  LMN and  NMO form a linear pair. Find the measures of the
angles if m  LMN = (3x + 10)º and m  NMO = (2x + 45)º.
Draw a figure that fits the description.
15. A regular triangle
16. A quadrilateral that is
equilateral but not equiangular
17. A concave pentagon
18. An isosceles triangle that is not
equiangular
Answers
13. _____________
_____________
14. _____________
_____________
15. _____________
16. _____________
Tell whether the statement is always, sometimes, or never true.
17. _____________
19. A nonagon is a plane figure.
18. _____________
20. A quadrilateral is convex.
21. A hexagon is equiangular but not equilateral.
19. _____________
18. _____________
22. The complement of the supplement of an angle is an acute angle.
Geometry
Assessment Book
19. _____________
20. _____________
21. _____________
22. _____________
23. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
23. 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.
Answers for Essentials of Geometry
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