Dilations Math

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

A dilation is which of the following: 

• only an enlargement

• only a reduction

• Either an enlargement or a reduction

• Neither an enlargement or a reduction

Choose the correct scale factor:

• 2.5

• 1.5

• 3.5

• 4

The scale factor for this dilation is:

Mathematical Equivalence

ON

What scale factor was used to produce the image?

• 2

• -2

• ¹/₂

• 1

When the scale factor of a dilation is less than one, the dilation is a reduction.

• True

• False

Which of the following is the algebraic representation for a dilation?

• (x, y) → (5x, y)

• (x, y) → (.25x, .25y)

• (x, y) → (x-4, y)

• (x, y) → (2x, 3y)

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 pre-image.

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

• That the image will be a reduction of the pre-image.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2