AnswersCommon Core Math 8 - MA3108 B-ICSimilarity and Transformations

Similarity and Transformations Answers

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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
3

Parallelogram P was dilated to form parallelogram .What is the value of x? (Figures not drawn to scale.)

Question illustration
Answer not available
6

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
7

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.
8

Which statement describes the relationship, if any, that exists between triangle KLM and triangle NPQ?

Question illustration
A
They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio from .
Option A
B
They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio from .
Option B
C
They are not similar because their corresponding angles are not congruent.
D
They are not similar because their corresponding side lengths are not proportional.
9

Which figure is similar to the parallelogram? (Figures may not be drawn to scale.)

Question illustration
A
A parallelogram has side lengths of 4 and 4.8. Angles are 68 degrees and 112 degrees.
Option A
B
A rectangle has a length of 6 and width of 4.8. All angles are 90 degrees.
Option B
C
A parallelogram has side lengths of 4 and 2.9. Angles are 48 degrees and 132 degrees.
Option C
D
A parallelogram has side lengths of 4 and 2.9. Angles are 68 degrees and 112 degrees.
Option D
10

Which statement is true of triangles QRS and MNP?

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

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