Question

Polygon ABCD has vertices of A(2, 4), B(-2, 6), C(-4,-6), and D(3,-4). Find the coordinates of the dilation with a scale factor of 2. What is the location of C'?

a) C'(8, -12)
b) C'(-8, 12)
c) C'(-2, 3)
d) C'(6, -8)

Answer 1

To find the location of C' after a dilation with a scale factor of 2, each coordinate of C must be multiplied by 2, resulting in C' having coordinates (-8, -12).

Step-by-step explanation:

The student is asking how to find the coordinates of a dilated figure with a scale factor of 2.

Specifically, the location of vertex C' after dilation.

To find C', we multiply each coordinate of the original point C(-4, -6) by the scale factor of 2.

Therefore, C' would have coordinates of (-4 × 2, -6 × 2), which simplifies to C'(-8, -12).

Hence, the correct answer to the location of C' after the dilation is a) C'(8, -12).