Question

The vertices of a parallelogram ABCD are A(2,0) B(0,-3)C(3,-3) and D(5,0) if ABCD is reflected over the x-axis how many vertices will remain the same

Answer 1

Answer: 2 vertices

The two vertices in question are (2,0) and (5,0). These are points A and D. These two points are on the x axis, which is the line of reflection. Any point on a line of reflection does not move.

The points (0,-3) and (3,-3) are not on the line of reflection, so they do move and are reflected to another location. Refer to the diagram below.