The parallelogram on the left was dilated by a scale factor of 2 about point P. It was then transformed in another way to produce the parallelogram on the right.

On a coordinate plane, parallelogram P has points (negative 4, 0), (negative 2, 0), (negative 3, negative 3), (negative 5, negative 3). Parallelogram P prime has points (3, 0), (7, 0), (5, negative 6), (1, negative 6).
Which identifies the transformation that occurred after the dilation?
a translation of 9 units to the right
a translation of 3 units down
a reflection across the x-axis
a reflection across the y-axis

1 answer

The dilation enlarged the parallelogram by a scale factor of 2 about point P. Therefore, all points on the parallelogram were multiplied by 2 with respect to point P.

Looking at the coordinates of the points from parallelogram P to P', we can see that the x-coordinates are all multiplied by 2 (for example, -2 * 2 = 4 and -5 * 2 = -10). However, the y-coordinates are not multiplied by 2.

This tells us that the transformation that occurred after the dilation is a reflection across the y-axis.