The picture below shows a triangle shelf up for sale at brad's shop. brad rotates the shelf 180 degrees counterclockwise to show a customer how it can be mounted in different styles. what is the value of z after the rotation

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

one that is bigger than 3 1/2