Question

which shows all of the lines of symmetry for a rectangle?

Explanation:

Identify the definition of a line of symmetry

A line of symmetry divides a geometric figure into two congruent halves that are mirror images of each other across the line.

Analyze the symmetry of a non-square rectangle

A standard rectangle has exactly two lines of symmetry:

1. A vertical line passing through the midpoints of the top and bottom horizontal sides.
2. A horizontal line passing through the midpoints of the left and right vertical sides.

Note: The diagonals of a non-square rectangle are not lines of symmetry because folding along a diagonal does not align the opposite vertices.

Match with the given options

• Option 1 shows both the vertical and horizontal lines of symmetry.
• Option 2 shows only the vertical line of symmetry.
• Option 3 shows only the horizontal line of symmetry.
• Option 4 shows the diagonals, which are not lines of symmetry for a rectangle.

Answer:

• (A) A rectangle with both a vertical and a horizontal line of symmetry passing through its center (Correct answer)
• (B) A rectangle with only a vertical line of symmetry
• (C) A rectangle with only a horizontal line of symmetry
• (D) A rectangle with two diagonal lines