SRT.1 - Properties of Dilations

The smaller triangle is transformed to create the larger triangle. Which of these is the scale factor of the dilation centered at the point (0, 0)?

• 4

• 2

• 1

• 1/2

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Figure A′B′C′D′F′ is a dilation of figure ABCDF by a scale factor of ½ ​​. The dilation is centered at (–4, –1).

Which statement is true?

• A

• B

• C

• D

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Which transformation results in a figure that is similar to the original figure but has a greater area?

_{(No, there is not a picture that goes with this question. You can draw one if you like.)}

• a dilation of triangle QRS by a scale factor of 0.25

• a dilation of triangle QRS by a scale factor of 0.5

• a dilation of triangle QRS by a scale factor of 1

• a dilation of triangle QRS by a scale factor of 2

In the coordinate plane, segment PQ is the result of a dilation of segment XY by a scale factor of 1/2.

Which point is the center of dilation?

• ( -4, 0 )

• ( 0, -4 )

• ( 0, 4 )

• ( 4, 0 )

The segment AB is dilated to create the segment A'B'.

What are the coordinates of the center of the dilation?

• ( 5, 7 )

• ( 8, 1 )

• ( 0, 4 )

• ( -1, 4 )

In the diagram shown below quadrilateral ABCD is dilated from the origin.

What scale factor was used for the dilation?

• 0.5

• 1.5

• 2

• 1

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

If the triangle at the right were to be dilated using a scale factor of 1/2 , which is the only triangle below that could represent the transformed image?

• A

• B

• C

• D

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

If you were to dilate line AB using point C as the center of dilation, which of the below would best describe the newly created image? (You may assume that the scale factor is not 1.)

• A line segment

• A ray

• A line that is parallel to line AB

• A line that is in the same place as line AB

A rectangle ABCD is dilated from point O to create the rectangle A’B’C’D’.

Given AB = 4 cm, A’B’ = 8 cm, and the area of ABCD = 10 cm² determine the ratio of the areas between the two similar shapes.

• 2/1

• 4/1

• 8/1

• 16/1

One pyramid is dilation of the other.

What is the ratio of the volumes between the two pyramids?

• 1:2

• 1:4

• 1:16

• 1:64