Dilations — Unit test Answers

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3

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

Question illustration
A
a reflection over the y-axis
B
a translation to the right
C
a translation to the left
D
a clockwise rotation
5

Which statement about the reflection below is true?

Question illustration
A
The distance between C and P is equal to the distance between C’ and P.
B
Point P is the midpoint of the segment with endpoints of B and B’.
C
The sides of the pre-image and image are perpendicular to the line of reflection.
D
The distance between C and P is equal to twice the distance between C and C’.
6

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.
8

Which statements about the dilation are true? Check all that apply.

Question illustration
A
The center of dilation is point C.
B
It is a reduction.
C
It is an enlargement.
D
The scale factor is 2.5.
E
The scale factor is .
Option E
9

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.
11

Max is trying to prove to his friend that two reflections, one across the x-axis and another across the y-axis, will not result in a reflection across the line y = x for a pre-image in quadrant II. His friend Josiah is trying to prove that a reflection across the x-axis followed by a reflection across the y-axis will result in a reflection across the line y = x for a pre-image in quadrant II. Which student is correct, and which statements below will help him prove his conjecture? Select the three correct answers.

A
Max is correct.
B
Josiah is correct.
C
Taking the result from the first reflection (x, –y) and applying the second mapping rule will result in (–x, –y), not (y, x), which reflecting across the line y = x should give.
D
If one reflects a figure first across the x-axis from quadrant II then reflects across the y-axis from quadrant III, the image will end up in quadrant IV.
E
A figure that is reflected from quadrant II to quadrant IV across the line y = x will have the coordinates of (-y, x).
12

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
14

A translation is shown on the grid below.Which are true statements about the translation? Select 3 options.

Question illustration
A
The sides of the image and pre-image are congruent.
B
The image is turned 90°.
C
The angles in the image are different from the angles in the pre-image.
D
The image is a slide of the pre-image.
E
The image has a different shape than the pre-image.
F
Each point has moved in a different direction.
G
Each point has moved the same number of units.
15

Which choices correctly describe reflections in the diagram? Check all that apply.

Question illustration
A
The red triangle A is reflected across the x-axis onto triangle B.
B
The red triangle A is reflected across the y-axis onto triangle D.
C
The blue triangle D is reflected across the x-axis onto triangle C.
D
The blue triangle D is reflected across the line y = x onto triangle B.
E
The green triangle C is reflected across the line y = –x onto triangle A.

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Dilations — Unit test Answers — SRC 2022 MJ…