Download ExamView - Geometry and more Study notes Geometry in PDF only on Docsity!
Name: ______________________ Class: _________________ Date: _________ ID: A
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 c. OJ
b. JB d. BJ
← →
____ 2. What is another name for BJ
→
a. OB
→
c. BO
→
b. JB
→
d. JO
→
____ 3. Point M is the midpoint of
AB
. Find BM.
a. 58 c. 133
b. 29 d. 4
____ 4. The endpoints of GH are G −3,
Ê
Ë
Á
Á
˜ and H 7,− 8
Ê
Ë
Á
Á
˜. Find the coordinates of the midpoint M.
a. −5,
Ê
Ë
Á
Á
˜ c. 4,− 8
Ê
Ë
Á
Á
b. −10,
Ê
Ë
Á
Á
˜ d. 2,− 4
Ê
Ë
Á
Á
Name: ______________________ ID: A
____ 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. 24 ft
2
c. 8 ft
2
b. 32 ft
2
d. 16 ft
2
____ 6. In the diagram, m ∠ BDA = 144 °. Find m ∠ ADC.
a. 91° c. 62°
b. 82° d. 40°
____ 7. ∠ BDA is a straight angle. Find m ∠ BDC.
a. 16° c. 60°
b. 112° d. 68°
Name: ______________________ ID: A
____ 12. A ramp that is used to load a truck makes supplementary angles with the ground. The ramp has an incline
) of 6 °
. What is the measure of ∠ 2
a. 84° c. 174°
b. 168° d. 6°
____ 13. Which statements about the diagram are true?
a. plane KCW and plane CH K intersect at K.
b. N is coplanar with plane YDU.
c. 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 = 2 x + 70 , AB = 3 x + 47 , and BD = 5 x − 13?
a. 5 c. 65
b. 71 d. 80
Name: ______________________ ID: A
____ 15. Which are possible names for the angle?
a. ∠ TQE c. ∠ TEQ
b. ∠ 8 d. ∠ EQT
____ 16. Which statements about the diagram are true given that ∠ RXW is a straight angle and XK
→
bisects ∠ WXB?
a. ∠ WKX is an acute angle. c. m ∠ BXW = 126 °
b. m ∠ BXW = 117 ° d. ∠ BXK ≅ ∠ WXK
Name: ______________________ ID: A
Use the given information to match the angle below with its measure.
- ∠ RST and ∠ UST form a linear pair.
- ∠ TSV and ∠ USV are complementary angles.
- ∠ RSW and ∠ TSW are complementary angles.
- m ∠ TSV = ( 7 x − 14 )°, m ∠ USV = ( 6 x − 13 )°, m ∠ WST = 8 y + 13
Ê
Ë
Á
Á
˜°, and m ∠ RSW = 5 y − 14
Ê
Ë
Á
Á
a. 21° d. 118°
b. 49° e. 139°
c. 69° f. 41°
____ 19. ∠ VSU
- Classify the polygon by the number of sides. Tell whether it is convex or concave.
- A telecommunications company is building a third cell tower in a region with existing towers located at
A −2,− 3
Ê
Ë
Á
Á
˜ and B 5,− 3
Ê
Ë
Á
Á
˜. 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.
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.
- 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.
Name: ______________________ ID: A
- The cities shown on the map lie approximately in a straight line. Find the distance (in miles) from
Minneapolis, Minnesota, to Fargo, North Dakota.
- 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.
- Sketch DE
← →
and MP
← →
intersecting at point M.
Review for Semester 1 Final Geometry - Chapter 1 Sample Problems [Answer ID: A
Strip]
_______ 1.B
_______ 2.C
_______ 3.
B
_______ 4.D
_______ 5.B
_______ 6.B
_______ 7.D
_______ 8.B
_______ 9.C
_______10.A
_______11.B
_______12.C
_______13.
C, D
_______14.B, D
Review for Semester 1 Final Geometry - Chapter 1 Sample Problems [Answer ID: A
Strip]
_______15.A, B, D
_______16.C, D
_______17.D
_______18.
D
_______19.F
