Name: ______________________ Class: _________________ Date: _________
Review for Semester 1 Final Geometry - Chapter 1 Sample Problems
Use the diagram to answer the following question(s).
____
1. What is another name for BJ ?
a. OB
b.
JB
c.
OJ
d.
BJ
←

→

→
____
____
2. What is another name for BJ ?


→
OB
c.
BO
b.
JB
d.
JO
c.
d.
133
4

→

→
3. Point M is the midpoint of AB. Find BM .
a.
b.
____


→
a.
58
29
4. The endpoints of GH are G ÊÁË −3,0 ˆ˜¯ and H ÊÁË 7,−8 ˆ˜¯ . Find the coordinates of the midpoint M.
a. ÊÁË −5,4 ˆ˜¯
c. ÊÁË 4,−8 ˆ˜¯
b. ÊÁË −10,8 ˆ˜¯
d. ÊÁË 2,−4 ˆ˜¯
1
ID: A
Name: ______________________
____
5. A sandbox is being built in a park. The diagram shows the four vertices of the sandbox. Each unit in the
coordinate plane represents 1 foot. Find the area of the sandbox.
a.
b.
____
24 ft2
32 ft2
c.
d.
8 ft2
16 ft2
c.
d.
62°
40°
c.
d.
60°
68°
6. In the diagram, m∠BDA = 144°. Find m∠ADC .
a.
b.
____
ID: A
91°
82°
7. ∠BDA is a straight angle. Find m∠BDC .
a.
b.
16°
112°
2
Name: ______________________
ID: A


→
____
8. In the diagram, RT bisects ∠SRQ, and m∠QRT = 54°. Find m∠SRQ.
a.
b.
c.
d.
36°
108°
54°
72°


→
____
9. In the diagram, DC bisects ∠BDA. Find m∠ADC .
a.
b.
28°
88°
c.
d.
44°
22°
____ 10. ∠ 1 is a complement of ∠ 2, and m∠ 1 = 66°. Find m∠ 2.
a. 24°
c. 114°
b. 132°
d. 66°
____ 11. ∠ 3 is a supplement of ∠ 4, and m∠ 3 = 57°. Find m∠ 4.
a. 114°
c. 57°
b. 123°
d. 33°
3
Name: ______________________
ID: A
____ 12. A ramp that is used to load a truck makes supplementary angles with the ground. The ramp has an incline
(∠ 1) of 6°. What is the measure of ∠ 2?
a.
b.
84°
168°
c.
d.
174°
6°
____ 13. Which statements about the diagram are true?
a.
b.
c.
plane KCW and plane CH K intersect at K .
N is coplanar with plane YDU .
C is coplanar with plane YDU .
d. CD and CN intersect at C.
____ 14. Point B is between points A and D, and point C is between points B and D. Which are possible lengths of AC
when AD = 2x + 70, AB = 3x + 47, and BD = 5x − 13 ?
a. 5
c. 65
b. 71
d. 80
4
Name: ______________________
ID: A
____ 15. Which are possible names for the angle?
a.
b.
∠TQE
∠8
c.
d.
∠TEQ
∠EQT


→
____ 16. Which statements about the diagram are true given that ∠RXW is a straight angle and XK bisects ∠WXB?
a.
b.
∠WKX is an acute angle.
m∠BXW = 117°
c.
d.
5
m∠BXW = 126°
∠BXK ≅ ∠WXK
Name: ______________________
ID: A
In ABC , point D is the segment bisector of BC , point E is the segment bisector of AC , and point F is
the segment bisector of AB. Use the diagram to match the segment below with its length.
a.
b.
c.
about 11.2 units
about 10.4 units
about 11.0 units
d.
e.
f.
about 10.5 units
about 12.5 units
about 9.2 units
____ 17. AD
Use the diagram to match the description below with its value. Round decimal answers to the nearest
hundredth unit or square unit.
a.
b.
c.
d.
16
24
14.00
8
____ 18. area of
e.
f.
g.
h.
ABF
6
about 6.83
about 13.66
7.00
12
Name: ______________________
ID: A
Use the given information to match the angle below with its measure.
•
•
•
•
a.
b.
c.
∠RST and ∠UST form a linear pair.
∠TSV and ∠USV are complementary angles.
∠RSW and ∠TSW are complementary angles.
m∠TSV = (7x − 14)°, m∠USV = (6x − 13)°, m∠WST = ÊÁË 8y + 13ˆ˜¯ °, and m∠RSW = ÊÁË 5y − 14 ˆ˜¯ °.
21°
49°
69°
d.
e.
f.
118°
139°
41°
____ 19. ∠VSU
20. Classify the polygon by the number of sides. Tell whether it is convex or concave.
21. A telecommunications company is building a third cell tower in a region with existing towers located at
A ÊÁË −2,−3 ˆ˜¯ and B ÊÁË 5,−3 ˆ˜¯ . Each unit in the coordinate plane represents 0.6 mile. They ask you to determine the
location of the third tower so that the triangle formed by the three cell towers has an area of about 10.1
square miles and a perimeter of about 15 miles, and the distance from the third tower to tower A is about 6
miles. Estimate the coordinates of the third tower to the nearest integer.
22. You are building a gazebo that has a floor shaped like a regular polygon with 8 sides. A regular polygon is a
convex polygon with all sides congruent and all angles congruent. The sum of the interior angles of a convex
polygon is 180 (n − 2)°, where n is the number of sides of the polygon. What is the measure of an interior
angle in the floor of the gazebo? Round decimal answers to the nearest tenth degree.
7
Name: ______________________
ID: A
23. The cities shown on the map lie approximately in a straight line. Find the distance (in miles) from
Minneapolis, Minnesota, to Fargo, North Dakota.
24. A cruise ship leaves port in Naples, Florida, in route to Cancun, Mexico. The map shows the ship’s position
at three different points during the cruise. Point N represents Naples, point B represents the approximate
position after five hours, and point C represents Cancun.
a. Find the total distance the cruise ship traveled.
b. The ship’s cruise lasted about 18 hours. Estimate the ship’s average speed in miles per
hour.
←
→
←

→
25. Sketch DE and MP intersecting at point M.
8
ID: A
Review for Semester 1 Final Geometry - Chapter 1 Sample Problems
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
B
C
B
D
B
B
D
B
C
A
B
C
C, D
B, D
A, B, D
C, D
D
D
F
octagon; convex
ÊÁ 4,5 ˆ˜ or ÊÁ 4,−11 ˆ˜
Ë ¯ Ë
¯
22. 135°
23. 214
24.
a. 470 mi
b. about 25 mi/h
25. Sample answer:
1
Review for Semester 1 Final Geometry - Chapter 1 Sample Problems [Answer
Strip]
B
_______
5.
B
_______
8.
B
_______
1.
C
_______12.
C, D
_______13.
C
_______
9.
C
_______
2.
B
_______
6.
B
_______
3.
A
_______10.
D
_______
4.
D
_______
7.
B
_______11.
B, D
_______14.
ID: A
Review for Semester 1 Final Geometry - Chapter 1 Sample Problems [Answer
Strip]
A, B, D
_______15.
F
_______19.
C, D
_______16.
D
_______17.
D
_______18.
ID: A