Question

Triangle ABC has vertices at A(2, -4), B(5, -1), and C(3, 4). If the triangle is dilated by a scale factor of ¼, what will be the coordinates of C’?

Answer 1

To dilate a triangle by a scale factor of 1/4, multiply the coordinates of each vertex by the scale factor. The coordinates of C' would be (3/4, 1).

Step-by-step explanation:

To dilate a triangle by a scale factor of ¼, you need to multiply the coordinates of each vertex by the scale factor.

Let's find the coordinates of C' by multiplying the coordinates of C by ¼:
C'(x', y') = (3 * ¼, 4 * ¼)
C'(x', y') = (3/4, 1)