Question

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

Explanation:

Step1: Recall the definition of reflectional symmetry

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

Step2: Analyze the properties of a rectangle

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. The diagonals of a rectangle are not lines of symmetry (except for a square, which is a special case of a rectangle). When we reflect a rectangle over its diagonal, the two parts do not match exactly.

Answer:

The diagram with the horizontal and vertical dashed lines (the second diagram in the problem description) is the correct one as it shows the two lines of reflectional symmetry (horizontal and vertical) for a rectangle.