AnswersCommon Core Math 8 - MA3108 B-ICSimilarity and Transformations

Similarity and Transformations Answers

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1
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Which statement is true of triangles P and Q?

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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.
2
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Parallelogram P was dilated to form parallelogram .What is the value of x? (Figures not drawn to scale.)

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Answer not available
3

Triangle ABC has been dilated about point A by a scale factor of . What are the lengths, in units, of the three sides of ?

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A
10, 12, 13
B
10, 16, 13
C
90, 124, 97
D
90, 144, 117
4

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.
5

Which describes how triangle FGH could be transformed to triangle in two steps?Which identifies the transformation that occurred after the dilation?

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A
a dilation by a scale factor of 3 and then a reflection across the x-axis
B
a dilation by a scale factor of 3 and then a rotation about the origin
Option B
C
a dilation by a scale factor of 4 and then a reflection across the x-axis
D
a dilation by a scale factor of 4 and then a rotation about the origin
Option D
6

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
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?

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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

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