Chapter 12 Practice Test
Multiple Choice. Do your work on your own paper.
̅̅̅̅ down 7 units and labeled the
1. Line segment CD had endpoints C(24, 7) and D(9, 7). Jill translated 𝐶𝐷
new segment C’D’. What are the coordinates of the endpoints of ̅̅̅̅̅̅
𝐶′𝐷′?
C’(24, 0) and D’(9, 0)
2. Line segment LM is 14 centimeters long. Gary bisects the line segment and labels the point of
̅̅̅̅?
intersection P. What is the length of 𝐿𝑃
7 cm
̅̅̅̅̅ is 30
3. Chaya bisected line segment GP. She labeled the point of intersection M. The length of 𝑀𝑃
̅̅̅̅?
centimeters. What is the length of 𝐺𝑃
60 cm.
4. Lori bisects angle GHI. She labels a point on the bisector as J. Angle GHI is 145°. What is the measure of
angle GHJ?
72.5°
5. Joseph bisects angle LMN and labels a point on the bisector as O. He measures angle LMO with a
protractor. The measure of angle LMO is 64°. What is the measure of angle LMN?
angle LMN = 128°
6. What is the equation of a line that is parallel to 𝑦 = 8𝑥 − 3 and passes through the point (5, 4)?
𝑦 = 8𝑥 − 36
7. Write the equation of a vertical line and horizontal line that passes through (3,2).
𝑦=2
𝑥=3
8. Adina drew angle JKL on the coordinate plane.
a. Translate angle JKL to the right 7 units. Label the image J’K’L’
b. Translate J’K’l’ down 8 units. Label the new image J’’K’’L’’
c. Identify the coordinates of the endpoints for J’K’l’and
J’’K’’L’’.
d. Describe how a horizontal translation effects the endpoints.
A horizontal translation changes the x-values of the endpoints. A move to the right n units, adds n units
to the x value. A move to the left n units subtracts n units from the x-value.
e. Describe how a vertical translation effects the endpoints.
A vertical translation changes the y-values of the endpoints. A move down n units, subtracts n units
from the y-value. A move up n units adds n units to the y-value.
9. Zelly draws line segment MN on a coordinate plane. The coordinates of M are (27, 18). The coordinates
of N are (5, 6).
̅̅̅̅̅.
a. Calculate the midpoint of 𝑀𝑁
̅̅̅̅̅ . (Round to the nearest tenth.) 25.1 cm
b. Calculate the length of 𝑀𝑁
̅̅̅̅̅ five units downward. How does the length of the pre-image compare with
c. Zelly translates 𝑀𝑁
the length of the image?
The length of the image and the pre-image are equal.
̅̅̅̅.
10. Point R is the midpoint of line segment PQ. Compare the lengths of ̅̅̅̅
𝑃𝑅 and 𝑅𝑄
̅̅̅̅ are congruent.
̅̅̅̅ and 𝑅𝑄
𝑃𝑅
11. Determine if the lines are parallel, perpendicular, or neither.
a. {
𝑦 = −2𝑥 + 1
1
Perpendicular
𝑦 = 2𝑥 − 1
𝑦 = 2𝑥 + 3
b. {
Neither
𝑦 = −2𝑥 + 3
𝑦 =𝑥−2
c. {
Parallel
𝑦 =𝑥+5
12. Determine the equation of a line that is perpendicular to 𝑦 = 9𝑥 − 5 and passes through the point
(−3, 0).
1
1
𝑦 =− 𝑥−
9
3
13. Determine the equation of a line that is perpendicular to 𝑦 = 9𝑥 − 5 and passes through the point (2,
27).
1
245
𝑦 =− 𝑥+
9
9