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'? A. A'(2, 2), B(1, 2). C'(3, 2) B. A'(2, 1), B(1, 2). C'(3, 2) C. A'(8,4), B'(4, 8), C'(12, 8) D. A(2, 1), B(1, 2), C'(6, 4)​

Answer 1

Hello, we have drawn the triangular region indicated in the first photo and we will find the side lengths of the triangle by means of the right triangles you see in red and green. (Using the Pythagorean Theorem) The triangular region indicated represents an isosceles triangle. Its base is
`4` units.

Next, we take half the length of the sides. Draw a triangle with base
`2` units and each of its lateral sides with
`√(2)` units.

Only Option B meets this condition. I wish you success.