Question

How is quadrilateral ABCD related to quadrilateral A'B'C'D'?

A) A'B'C'D' is the 90-degree clockwise rotation of ABCD with the origin as its center.
B) A'B'C'D' is the 90-degree counter-clockwise rotation of ABCD about point D.
C) A'B'C'D' is the reflection of ABCD across the line y = x.
D) A'B'C'D' is the reflection of ABCD across the line y = -x.

Answer 1

Quadrilateral ABCD is related to quadrilateral A'B'C'D' by reflection across the line y = x.

Step-by-step explanation:

The quadrilateral ABCD is related to quadrilateral A'B'C'D' by reflection across the line y = x. In a reflection, each point of the original shape is paired with a corresponding point on the reflected shape, such that the line segment connecting the two points is perpendicular to the line of reflection and has the same length. So, quadrilateral ABCD and quadrilateral A'B'C'D' have corresponding points that are equidistant from the line y = x. This means that the distance from any point on ABCD to the line y = x is equal to the distance from the corresponding point on A'B'C'D' to the line y = x.