Unit Test Answers

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The Pentagon exhibits which types of line symmetry?

A
vertical symmetry
B
diagonal symmetry
C
multiple symmetries
D
horizontal symmetry
5

Which statement is true of triangles P and Q?

Question illustration
A
They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent.
B
They are not similar because their corresponding angles are congruent.
C
They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.
D
They are not similar because their corresponding side lengths are not proportional.
7

Triangle is the image of triangle Z after a series of transformations.Aliyah and Ivan described the sequence of transformations in different ways.Aliyah’s SequenceIvan’s Sequence1. a reflection of triangle Z across the y-axis2. a dilation by a scale factor of with the origin as the center of dilation 3. a translation 2 units up1. a dilation of triangle Z by a scale factor of with the origin as the center of dilation 2. a translation of 2 units up and 2 units to the leftWhich sequence or sequences are correct and why?

Question illustration
A
Only Aliyah is correct. A dilation and translation alone could not produce triangle .
Option A
B
Only Ivan is correct because the dilation must be the first step in the sequence.
C
Neither Aliyah nor Ivan is correct because they both used an incorrect translation
D
Both Aliyah and Ivan are correct because both chose the correct scale factor for the dilation and both describe other transformations that would produce triangle .
Option D
8

Mikel is determining if the two triangles below could be similar based on their side lengths. Which statements accurately describe the triangles? Check all that apply.

Question illustration
A
The common ratio between the triangles is 3 because .
Option A
B
The common ratio between the triangles is 2.5 because .
Option B
C
The triangles could be similar.
D
The triangles could not be similar.
E
The ratios of the side lengths are not consistent.
F
The ratios of the side lengths are consistent.
11

The rectangle is the image after a dilation with the center of dilation at the origin of rectangle ABCD. The pre-image of , point A, has coordinates of (–4, 3.2). What is the scale factor of the dilation and what are the coordinates of point C?

Question illustration
A
The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8).
B
The scale factor is 0.4 and the coordinates of point C are (–2.4, –0.8).
C
The scale factor is 2.5 and the coordinates of point C are (–15, 5).
D
The scale factor is 0.4 and the coordinates of point C are (–15, 5).

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