Question

a triangle △jkl with side lengths 4, 6, and 8 is dilated by k = 3. what are the side lengths of the dilated triangle?
a. 4,6,8
b. 6,9,12
c. 12,15,24
d. 12,18,24

Explanation:

Step1: Recall dilation rule

When a figure is dilated by a scale - factor \(k\), each side - length of the original figure is multiplied by \(k\) to get the side - lengths of the dilated figure.

Step2: Calculate new side - lengths

For the side of length \(4\), the new length is \(4\times k=4\times3 = 12\).
For the side of length \(6\), the new length is \(6\times k=6\times3 = 18\).
For the side of length \(8\), the new length is \(8\times k=8\times3 = 24\).

Answer:

D. \(12,18,24\)