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

Answer:

A' (2, 1)

B' (1, 2)

C' (3, 2)

Step-by-step explanation:

Scale factor = 0.5

A(⁴₂ ) → A'($\frac{1}{2} * 4\\\frac{1}{2} * 2$) = (²₁ )  ∴ A'(2, 1)

B(²₄ ) → B'($\frac{1}{2} * 2\\\frac{1}{2} * 4$) = (¹₂ ) ∴ B'(1, 2)

C(⁶₄ ) → C'($\frac{1}{2} * 6\\\frac{1}{2} * 4$) = (³₂ ) ∴ C'(3, 2)