Unit Test — Unit test Answers

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Which type of transformation must have occurred in order to map triangle RST to its image, triangle R’S’T’?

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A
a reflection over the y-axis
B
a translation to the right
C
a translation to the left
D
a clockwise rotation
3

Mira uses the mapping rule to find the coordinate of a point that had been rotated 90° clockwise about the origin. Examine Mira’s solution to determine which step has an error.M(–5, –6) is rotated 90° clockwise. Step 1. Use the rule (x, y)g(y, –x).Step 2. Switch x and y coordinates: (–6, –5)Step 3. Multiply the new x-coordinate by –1: ((–1)–6, –5)Step 4. Simplify: (6, –5)Mira made an error in Step .

Answer not available
5

Which statement is true of triangles FGH and JKL?

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A
They are similar because their corresponding angles are congruent and their corresponding sides are congruent.
B
They are similar because their corresponding angles are congruent and their corresponding sides are proportional in length.
C
They are not similar because their corresponding angles are not proportional in measure.
D
They are not similar because their corresponding sides are not proportional in length.
6

Which red triangle shows a 90° counterclockwise rotation of the blue triangle? Check all that apply.

A
On a coordinate plane, a blue triangle has points (negative 1, 4), (negative 5, 4), (negative 1, 1). A red triangle has points (negative 4, negative 1), (negative 1, negative 1), (negative 4, negative 5).
Option A
B
On a coordinate plane, a blue triangle has points (1, 1), (4, 5), (4, 1). A red triangle has points (negative 1, 1), (negative 1, 4), (negative 5, 4).
Option B
C
On a coordinate plane, a blue triangle has points (0, 1), (4, 4), (4, 1). A red triangle has points (negative 4, 1), (negative 4, 4), (0, 1).
Option C
D
On a coordinate plane, a blue triangle has points (negative 5, 4), (negative 1, 4), (negative 1), 1). A red triangle has points (1, 1), (4, 1), (4, 5).
Option D
E
On a coordinate plane, a blue triangle has points (negative 2, 5), (4, 5), (4, 1). A red triangle has points (negative 1, 4), (negative 5, 4), (negative 5, negative 2).
Option E
7

Rectangle LMNP is rotated, using the origin as the center of rotation, to form rectangle L’M’N’P’. What is the angle of rotation?

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Answer not available
8

Figure A below is translated 4 units left and 1 unit down and then reflected over the y-axis. Which best explains whether figure B is the image of figure A under the specified transformations?

Question illustration
A
Figure B is not the image of figure A because the triangles are not congruent.
B
Figure B is not the image of figure A because the transformations were performed in an incorrect order.
C
There is not enough information to determine whether figure B is the image of figure A after the transformations.
D
Figure B is the image of figure A. The transformations were performed correctly.
9

What is true about the rotation of the shaded triangle to the position of the unshaded triangle? Check all that apply.

Question illustration
A
The rotation uses the rule (x, y)g(–x, –y).
B
The rotation uses the rule (x, y)g(y, –x).
C
The rotation is 90° clockwise about the origin.
D
The rotation is 180° about the origin.
E
The rotation uses the rule (x, y)g(–y, x).
F
The rotation is 90° counterclockwise about the origin.
10

Which triangle on the coordinate grid is a translation of triangle F?triangle

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Answer not available
11

In triangle VWX, VW = 4.5 inches, WX = 5.9 inches, , and . If , which statement is true?

Question illustration
A
QR = 4.5 cm
B
QR = 5.9 cm
C
Measure of angle R = 28 degrees
Option C
D
Measure of angle R = 47 degrees
Option D
14

Which sequence of transformations would result in an image that is similar and non-congruent to the pre-image? Assume that any scale factor for the dilations is not equal to 1. Check all that apply.

A
a dilation followed by a translation
B
a dilation followed by a reflection
C
a reflection followed by a dilation
D
a rotation followed by a reflection
E
a rotation followed by a dilation
F
a translation followed by a reflection
15

Kadesha says that the triangles represent a translation.Which explains whether Kadesha is correct?

Question illustration
A
Kadesha is correct because triangle ABC is the pre-image and triangle is the image.
Option A
B
Kadesha is correct because each point in triangle ABC moves five units up.
C
Kadesha is not correct because the number of units between points A and B is different than those between points and .
Option C
D
Kadesha is not correct because a translation is a horizontal movement.

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