A (-1, 3) B(2,6) C(5,2] D(1,1)

Question

Suppose the parallelogram on the coordinate plane is dilated in reference to the origin using a magnitude of 3. What would the coordinates be of the new vertex A’?

Answer 1

To find the new coordinates of vertex A after a dilation centered at the origin with a magnitude of 3, you can multiply the coordinates of point A by the scale factor.

The coordinates of point A are (-1, 3).

To perform the dilation:

• For the x-coordinate: \(-1 \times 3 = -3\)
• For the y-coordinate: \(3 \times 3 = 9\)

So, the coordinates of the new vertex A' after the dilation would be:

\[ A'(-3, 9) \]