Question

explore possible lines of symmetry of ▱abcd by following these steps. 1. try constructing a vertical line of symmetry by dragging the points on the dashed line to w and y.

Explanation:

Step1: Recall line - symmetry concept

A line of symmetry divides a figure into two congruent parts such that one part is the mirror - image of the other.

Step2: Analyze vertical line for rectangle ABCD

For a rectangle ABCD, if we construct a vertical line passing through the mid - points of AB and CD (by dragging the points on the dashed line to W and Y), the two halves of the rectangle on either side of this vertical line will be congruent. The left half will be a mirror image of the right half.

Answer:

A vertical line passing through the mid - points of AB and CD is a line of symmetry for rectangle ABCD.