Dilations and Similarity Review

Select ALL the true statements about an image after a dilation.

• The image is a different shape than the preimage.

• The image is a different size than the preimage.

• The image has the same angle measures as the preimage.

• The image is similar to the preimage.

• The image has the same side lengths as the preimage.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Triangle PQR is the image of triangle JKL after a dilation. Is the dilation an enlargement or a reduction? Explain.

• Enlargement, because the image is larger than the original figure.

• Enlargement, because the image is smaller than the original figure.

• Reduction, because the image is smaller than the original figure.

• Reduction, because the image is larger than the original figure.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Rajesh is making pennants in preparation for a school soccer game. He wants the pennants to be similar triangles. Which of these triangles could he use for the pennants?

• QRS and TVW

• QRS and XYZ

• TVW and JKL

• TVW and XYZ

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

CCSS.8.G.A.5

Are ABC and DEF similar?

• Yes

• No

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Are ABC and LMN similar?

• Yes

• No

Tags

CCSS.8.G.A.4

CCSS.8.G.A.5

Are LMN and DEF similar?

• Yes

• No

Tags

CCSS.8.G.A.4

CCSS.8.G.A.5

Figure D´E´F´G´ is a dilation with center (0, 0) of figure DEFG. What is the scale factor?

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

A sequence of transformations is required to map ΔPQR onto ΔP’Q’R’. Which is a possible step?

• A dilation with scale factor 1

• A dilation with scale factor 2

• A dilation with scale factor 3

• A dilation with scale factor 4

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

CCSS.8.G.A.4

A sequence of transformations is required to map ΔPQR onto ΔP’Q’R’. Which is a possible step?

• Reflection across the line x=1

• Reflection across the y-axis

• Reflection across the x-axis

• Reflection across the line y=1

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Find the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3. What is the ordered pair for A'?

• (1, 1)

• (3, 3)

• (5, 5)

• (6, 6)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

CCSS.8.G.A.4