Question

try it! 2.a. how many lines of symmetry does the figure have? how do you know whether you have found them all?

Explanation:

Step1: Recall the definition of line of symmetry

A line of symmetry is a line that divides a figure into two congruent parts.

Step2: Analyze the rectangle

For a rectangle, there are two lines of symmetry. One is the vertical line passing through the mid - points of the two longer sides, and the other is the horizontal line passing through the mid - points of the two shorter sides.

Step3: Check for all possible lines

We check all possible directions (horizontal, vertical, and diagonal). The diagonal lines do not divide the rectangle into two congruent parts. So, we have found all the lines of symmetry.

Answer:

The figure (a rectangle) has 2 lines of symmetry. We know we have found them all by checking all possible directions (horizontal, vertical, and diagonal) and verifying that only the horizontal and vertical lines through the mid - points of the sides divide the rectangle into two congruent parts.