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

General
1

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

2

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

Answer: A rectangle has two lines of reflectional symmetry. These lines divide the rectangle into mirror-image halves. Specifically, the lines of symmetry for a rectangle are:

  1. Vertical Line of Symmetry: This line passes through the midpoints of the longer sides of the rectangle, effectively dividing it into two equal halves vertically.
  2. Horizontal Line of Symmetry: This line passes through the midpoints of the shorter sides of the rectangle, dividing it into two equal halves horizontally.

To visualize these lines of symmetry, imagine a rectangle with the following characteristics:

  • Vertical Line of Symmetry: If you fold the rectangle along this vertical line, the two halves will match perfectly.
  • Horizontal Line of Symmetry: If you fold the rectangle along this horizontal line, the two halves will also match perfectly.

Diagram Explanation:

Consider a rectangle labeled ABCD with:

  • A at the top-left corner
  • B at the top-right corner
  • C at the bottom-right corner
  • D at the bottom-left corner

The vertical line of symmetry will pass through the midpoint of AB and CD, dividing the rectangle into two equal vertical halves.
The horizontal line of symmetry will pass through the midpoint of AD and BC, dividing the rectangle into two equal horizontal halves.

Visual Representation:

A---------B
|         |
|         |
|         |
D---------C

Lines of Symmetry:

  • Vertical Line: This line will go through the middle of AB and CD.
  • Horizontal Line: This line will go through the middle of AD and BC.
A----|----B
|    |    |
|    |    |
|    |    |
D----|----C

A---------B
|         |
|---------|
|         |
D---------C

In conclusion, the correct diagram that shows all the lines of reflectional symmetry for a rectangle will include both the vertical and horizontal lines passing through the midpoints of the respective sides.