Dilations Centered About the Coordinate Plane

If triangle UVW gets dilated with a scale factor of 3 centered at point P, what will be the new coordinates of W'?

• (-3, 0)

• (0, -3)

• (-6, 2)

• (2, -6)

If triangle ABC gets dilated with a scale factor of two and center P, what will the new coordinates of B' be?

• (2, 7)

• (7,2)

• (1, 0)

• (0, 1)

A rectangle with coordinates A(1, 1), B(5, 1), C(5, 6), and D(1, 6) undergoes a dilation centered at the origin to create rectangle A'B'C'D'.

If the length of segment A'B' is 12 units, what is the scale factor of the dilation?

• 2

• 3

• 1

• 4

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

A dilation is which of the following:

• an enlargement only

• a reduction only

• either an enlargement or reduction

• neither an enlargement or reduction

A dilation always produces a similar figure.

• True

• False

Suppose a triangle with the vertices (-1,4) (-1, -2) and (2, -2) were dilated, with the center of dilation at the origin and with a scale factor of 2. Which of these would be a vertex of the dilated figure?

• (-1, -4)

• (-1, 4)

• (4, -4)

• (4, -2)

If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

• 3

• 1/3

• 8

• 16

The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image?

• Red Triangle

• Black Triangle

• Green Triangle

• None of the above

A scale factor of less than one means

• that the image will be larger than the pre-image.

• That the image will be the same as the preimage.

• That you need to subtract that amount off of each side.

• That the image will be a reduction of the preimage.