Question

A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), and C′(15, 0). The origin is the center of dilation. What is the scale factor of the dilation?

Answer 1

Hey! Welcome to QC


Dilation is multiplicative. So, the simplest way to find the scale factor is to divide the points

Ex. point B
A (0,4) to A'(0,10)

Divide 10 and 4
\(\dfrac{10}{4}=\)

Repeat this for C and C' to make sure it is correct

Answer 2

Tysm!