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Line segment AB has vertices A(−3, 4) and B(1, −2) . A dilation, centered at the origin, is applied to AB¯¯¯¯¯ . The image has vertices A′(−1, 43) and B′(13, −23) .


What is the scale factor of the dilation?


A)16


B)13


C)3


D)6

Verified Answer :

Answer:

B)1/3

Step-by-step explanation:

The scale factor is the amount each coordinate in a point is multiplied to create the image point.

A is at (-3, 4) and A' is at (-1, 4/3).  To get from -3 to -1, multiply by 1/3; to get from 4 to 4/3, multiply by 1/3.

If we multiply B by 1/3, we get B' = (1(1/3), -2(1/3)) = (1/3, -2/3)

This is the correct scale factor.

The answer is option B.

The Scale factor of dilation:

Scale Factor is defined as the ratio of the size of the new image to the size of the old image. The center of dilation is a fixed point in the plane. Based on the scale factor and the center of dilation, the dilation transformation is defined.

The scale factor of dilation:

How do you find the scale factor of a dilation?

The basic formula to find the scale factor of a dilated figure is the Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

The scale factor is the amount each coordinate in a point is multiplied to create the image point.

Line segment AB has vertices A(−3, 4) and B(1, −2), A' is at (-1, 43).

To get from -3 to -1, multiply by 13; to get from 4 to 43, multiply by 13.

If we multiply B by 13,

we get B'

= (1(13), -2(13))

= (13, -23)

This is the correct scale factor.

The scale factor of the dilation =13

Learn more about dilation on: https://brainly.com/question/16596053

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