Question

George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2), B(2, 4), and C(6, 4). He wants to create another, similar-shaped garden, A′B′C′, by dilating triangle ABC by a scale factor of 0.5. What are the coordinates of triangle A′B′C′?

Answer 1

A' (2, 1)

B' (1, 2)

C' (3, 2)

Explanation:

Scale factor = 0.5

A(⁴₂ ) → A'(
`(1)/(2) * 4\\(1)/(2) * 2`) = (²₁ ) ∴ A'(2, 1)

B(²₄ ) → B'(
`(1)/(2) * 2\\(1)/(2) * 4`) = (¹₂ ) ∴ B'(1, 2)

C(⁶₄ ) → C'(
`(1)/(2) * 6\\(1)/(2) * 4`) = (³₂ ) ∴ C'(3, 2)