Question

Suppose the parallelogram on the coordinate plane is dilated in reference tp the origin using a magnitude of 3 what would be the coordinates of the new vertices of E'F'G'H'

Answer 1

To find the new vertices of a parallelogram after a dilation from the origin by a magnitude of 3, we multiply each coordinate of the original vertices by 3.

Let's say the original vertices of the parallelogram are:
- \( E(x_1, y_1) \)
- \( F(x_2, y_2) \)
- \( G(x_3, y_3) \)
- \( H(x_4, y_4) \)

After a dilation by a factor of 3, the coordinates of the new vertices (E', F', G', H') will be:
- \( E'(x_1 \cdot 3, y_1 \cdot 3) \)
- \( F'(x_2 \cdot 3, y_2 \cdot 3) \)
- \( G'(x_3 \cdot 3, y_3 \cdot 3) \)
- \( H'(x_4 \cdot 3, y_4 \cdot 3) \)

If you provide the specific coordinates of the original vertices, I can help you calculate the new coordinates.