Question

Comparing Coordinates to Interpret a Dilation
On a coordinate plane, a parallelogram has points A (negative 2, 4), (3, 4), (5, 0), (negative 3, 0). Point A prime is at (negative 1, 2)

Study the image at the left. Pay careful attention to the notation and location of the labeled coordinates.

Which is the result of this dilation?

What is the scale factor?

Answer 1

Because A(-2, 4) maps to A'(-1, 2), the dilation is centered at the origin with scale factor 1/2 (each coordinate is halved).

The image vertices are:
- A' = (-1, 2)
- B' = (3/2, 2)
- C' = (5/2, 0)
- D' = (-3/2, 0)

Scale factor: 1/2.