8th Grade Math Assessment: 8.G

Question 1 of 6

1. Question

A sequence of transformations was applied to an equilateral triangle in a coordinateplane. The transformations used were rotations, reflections, and translations. Which statement about the resulting figure is true?

It must be an equilateral triangle with the same side lengths as the original triangle.
It must be an equilateral triangle, but the side lengths may differ from the original
triangle.
It may be a scalene triangle, and all the side lengths may differ from the original
triangle.
It may be an obtuse triangle with at least one side the same length as the original
triangle.

Question 2 of 6

2. Question

Figure Q was the result of a sequence of transformations on figure P, both shown
below.

Which sequence of transformations could take figure P to figure Q?

reflection over the y-axis and translation 3 units down
reflection over the x-axis and translation 7 units right
translation 1 unit right and 180° rotation about the origin
translation 4 units right and 180° rotation about the origin

Question 3 of 6

3. Question

Rectangle R undergoes a dilation with scale factor 0.5 and then a reflection over the y- axis. The resulting image is Rectangle S. Which statement about Rectangles R and S is true?

They are congruent and similar.
They are similar but not congruent.
They are congruent but not similar.
They are neither congruent nor similar.

Question 4 of 6

4. Question

In the diagram below, three lines intersect at N. The measure of ∠GNF is 60°, and the measure of ∠MNL is 47°.

47°
60°
73°
107°

Question 5 of 6

5. Question

Figure 1 can be transformed to create Figure 2 using a single transformation.

Which transformation can be used to accomplish this?

dilation
reflection
rotation
translation

Question 6 of 6

6. Question

Which number could not be a value of x ?

8
9
12
21