Dilations Answers

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What statements about dilations are true? Check all that apply.A dilation preserves side lengths.A dilation preserves angle measures.A dilation preserves the direction that the shape faces.A dilation is a type of isometric transformation. The side lengths of a dilated image are proportional to the side lengths of the pre-image.

A
A dilation preserves side lengths.
B
A dilation preserves angle measures.
C
A dilation preserves the direction that the shape faces.
D
A dilation is a type of isometric transformation.
E
The side lengths of a dilated image are proportional to the side lengths of the pre-image.
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What is the length of CD?

A
2 units
B
4 units
C
6 units
D
8 units
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What is the length of C’D’?

A
2 units
B
4 units
C
6 units
D
8 units
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What is the measure of B?

A
30 degrees
B
60 degrees
C
90 degrees
D
180 degrees
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What is the measure of B’?

A
30 degrees
B
60 degrees
C
90 degrees
D
180 degrees
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What are the coordinates for a dilated triangle, A’B’C’, if the scale factor for the dilation is 0.75?

A
A’(–3.75, –0.75); B’(0, 1.5); C’(3, –1.5)
B
A’(–3.75, 0.75); B’(0.75, 1.5); C’(3, –1.5)
C
A’(3.75, 0.75); B’(0, 1.5); C’(3, –1.5)
D
A’(–3.75, 0.75); B’(0, 1.5); C’(3, –1.5)
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Which statements are true about the enlargement of triangle ABC to triangle A’B’C’? Check all that apply.

A
BC < B’C’
B
A’B’ < AB
C
B < B’
Option C
D
=
Option D
E
The scale factor for this dilation is less than 1.
F
C ≅ C’
Option F

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