AnswersSRC 2022 MJ Grade 8 Pre-Algebra Q1Congruence and Transformations

Similarity and Transformations Answers

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Triangle QNP was dilated by a scale factor of about point P. It was then transformed in another way to produce .Which identifies the transformation that occurred after the dilation?

Question illustration
A
a clockwise rotation about the origin
Option A
B
a clockwise rotation about the origin
Option B
C
a reflection across the x-axis
D
a reflection across the y-axis
3

Rectangle R was dilated to form rectangle .Which is the scale factor of the dilation?

Question illustration
A
Five-fourths
Option A
B
StartFraction 2 Over 1 EndFraction
Option B
C
Five-halves
Option C
D
StartFraction 5 Over 1 EndFraction
Option D
4

Which statement is true of rectangles Y and Z?

Question illustration
A
They are congruent because their corresponding angles are congruent.
B
They are similar because their corresponding angles are congruent.
C
They are similar because their corresponding side lengths are proportional.
D
They are not similar because their corresponding side lengths are not proportional.
8

Quadrilateral is the image of quadrilateral H after a sequence of transformations. If quadrilateral is congruent to quadrilateral H, which transformations could have been used?

Question illustration
A
a dilation by a scale factor of 2 followed by a reflection
B
a rotation followed by a dilation by a scale factor of
Option B
C
a reflection, a translation of 1 unit left, and then a dilation by a scale factor of 3
D
a translation of 6 units down, a rotation, and then a reflection
9

A triangle is dilated by a scale factor of and then rotated clockwise about the origin. Why is the image similar to the pre-image? Check all that apply.

Question illustration
A
The corresponding sides of the triangles are congruent.
B
The corresponding angles of the triangles are congruent.
C
The corresponding sides of the image are 5 times as long as those of the pre-image.
D
The image is a reduction of the pre-image.
E
Neither the dilation nor the rotation change the shape of the triangle.
F
The rotation reduces the size of the triangle.

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