Consider the effect of the transformation (x, y) → (x, 2y) on the parallelogram abcd with vertices a(0, 0), b(1, 1), c(3, 1), and d(2, 0). select true or false for each statement. a. the transformation preserves parallelism. a true b false b. the transformation preserves distance. a true b false c. the transformation preserves angle measure. a true b false

We have been given a transformation having rule

(x, y) → (x, 2y) on the parallelogram ABCD whose vertices are:

A(0, 0), B(1, 1), C(3, 1), and D(2, 0).

In given transformation x is same on both sides so x-coordinate will not change.

y changes to 2y so y-coordinate doubles. Due to that change in y, side length of the parallelogram will  change. Also the angle will change as you can see in the picture.

Now we can easily select True or False for each statement.

"The transformation preserves parallelism."

True

"The transformation preserves distance."

False

"The transformation preserves angle measure."

False

the correct is answer is a 9-sided polygon!