Math 3 – Chapter 12 Test Review
1. Kazuo drew line segment EF on the coordinate plane.
a. Determine the distance between the points E and F.
b. Translate line segment EF to the left 10 units. Label
the image E’F’. Describe how a horizontal translation
changes the coordinates of the endpoints.
c. Translate line segment E’F’ down 7 units. Label the image E”F”. Describe how a vertical translation
changes the coordinates of the endpoints.
d. Compare the lengths of the images and the pre-image.
2. Chaya bisects line segment ST. She labels the midpoint M. Line segment ST is 3.2 centimeters long.
What are the lengths of SM and MT . Draw & label a diagram, then explain your reasoning.
3. George bisects line segment AB. He labels the midpoint C. The length of AC is 1¼ inches. What is
the length of AB ? Draw & label a diagram, then explain your reasoning.
4. Analyze line segment PQ.
a. Use construction tools to bisect line segment PQ.
b. Where is the midpoint of line segment PQ located?
5. Analyze line segment AB.
a. Use construction tools to bisect line segment AB.
Label the midpoint C.
b. Use construction tools to bisect line segment AC.
Label the midpoint D.
c. Describe the relationship between the length of
line segment AB and the length of line segment AD.
Explain your reasoning.
d. Describe the relationship between the new lines you constructed and the original line segment AB.
Explain why that relationship exists.
e. Describe the relationship between the 2 new lines you constructed. Explain why that relationship
exists.
6. Zelly draws line segment MN on a coordinate plane. The coordinates of M are (-2, 4). The coordinates
of N are (3, 7). She translated the line segment 6 units down. She names this new line segment M’N’.
a. Identify the coordinates of M’ and N’.
b. Describe how a vertical translation changes the coordinates of the endpoints.
c. How does the length of the image compare with the length of the pre-image?
7. Calculate the midpoint of a line segment with the endpoints (3, 5) and (7, -3).
8. Point R is the midpoint of line segment PQ.
Compare the lengths of PR and RQ .
Explain your reasoning.
9. Bernie drew angle ABC on the coordinate plane.
a. Translate angle ABC to the right 12 units.
Label the image A’B’C’.
b. Describe how a horizontal translation changes the
coordinates of the angle endpoints.
c. Use construction tools to bisect angle ABC.
d. Find the measure of angle ABC.
10. The equation of line r is y = -2x + 1.
a. Write the equation of a line that is parallel to line r and passes through (-4, -3).
b. Write the equation of a line that is perpendicular to line r and passes through (-4, -3).
11. Use construction tools to construct an isosceles triangle that is not an equilateral triangle using the
side length shown.