Question

B

And the scale factor is
A'
Triangle A'B'C' Is a dilation of triangle ABC.
The center of dilation is (
A
** write your answer as a fraction "number/number" with the / as the division sign

Answer 1

The center of dilation is (1, -1)

The scale factor is 1/3

Image showing the dilation is attached

How to find the center of dilation

The scale factor is solved using some sides as reference. Let us use CA to C'A

preimage dimension * scale facto, k = image dimension

CA * k = C'A'

9 * k = 3

k = 3/9 = 1/3

Solving for center of dilation. (x₀, y₀)

x₀ = (k(x₁) - x₂) / (k - 1) and y₀ = (k(y₁) - y₂) / (k - 1)

Using points C (-2, 5) and C' (0, 1)

x₀ = (1/3(-2) - 0) / (1/3 - 1)

x₀ = -2/3 / -2/3

x₀ = 1

y₀ = (1/3(5) - 1) / (1/3 - 1)

y₀ = (5/3 - 1) / (-2/3)

y₀ = (2/3) / (-2/3)

y₀ = -1

the center of dilation is (1, -1)