Question

Triangle J′K′L′ shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation:

Which scale factor was used to create triangle J′K′L′?

A. 1/3
B. 4
C. 3
D. 1/4

Answer 1

The scale factor was that used to create triangle J′K′L′ is 1/ 3 .Option A

How to determine the scale factor

The formula for determining scale factor is expressed as;

Scale factor = smaller length / larger length

This is so because the new triangle is smaller than the original triangle

The length for JK in triangle J K L = 12 - 6 = 6

The length for JK in triangle J'K'L = 4 - 2 = 2

Substitute into the formula

Scale factor = 2/ 6

Reduce to simpler forms

Scale factor = 1/ 3

Thus, the scale factor that was used to create triangle J′K′L′ is 1/ 3 .Option A

Learn more about scale factor here:

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