Question

which diagram has all the correct lines of reflectional symmetry for the rectangle?

Explanation:

Step1: Recall the definition of a line of symmetry

A line of symmetry is a line that divides a figure into two congruent (identical) parts. For a rectangle, the lines of symmetry are the vertical line passing through the mid - points of the opposite sides and the horizontal line passing through the mid - points of the opposite sides.

Step2: Analyze the first diagram

The first diagram shows the diagonals as lines of symmetry. But for a rectangle (non - square), the diagonals are not lines of symmetry. If we fold a rectangle along its diagonal, the two parts do not overlap exactly.

Step3: Analyze the second diagram

The second diagram shows the vertical and horizontal lines (passing through the mid - points of the opposite sides) as lines of symmetry. If we fold a rectangle along the vertical line passing through the mid - points of the left and right sides, the left and right halves overlap. If we fold a rectangle along the horizontal line passing through the mid - points of the top and bottom sides, the top and bottom halves overlap.

Answer:

The second diagram (the one with the vertical and horizontal lines of symmetry) is the correct one.