A rectangle has how many lines of symmetry

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1

a rectangle has how many lines of symmetry

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LectureNotes said a rectangle has how many lines of symmetry

Answer: A rectangle has two lines of symmetry. These lines of symmetry divide the rectangle into two mirror-image halves. Here are the details:

  1. Vertical Line of Symmetry: This line runs vertically through the center of the rectangle, dividing it into two equal halves. If you fold the rectangle along this line, both halves will match perfectly.

  2. Horizontal Line of Symmetry: This line runs horizontally through the center of the rectangle, also dividing it into two equal halves. Folding the rectangle along this line will result in both halves aligning exactly.

To visualize this, imagine a rectangle with its longer sides horizontal. The vertical line of symmetry will pass through the midpoint of the shorter sides, while the horizontal line of symmetry will pass through the midpoint of the longer sides.

Diagram:

+-----------------+
|                 |
|                 |
|       |         |
|       |         |
|       |         |
|       |         |
|-----------------|
|       |         |
|       |         |
|       |         |
|       |         |
|                 |
|                 |
+-----------------+

In the diagram above:

  • The vertical line of symmetry is represented by the vertical line in the middle.
  • The horizontal line of symmetry is represented by the horizontal line in the middle.

Understanding these lines of symmetry helps in various geometric and mathematical applications, such as in design, architecture, and problem-solving scenarios.