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QuestionMathematics

How many lines of symmetry does this rectangle have?
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Answer

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Step 1:
I'll solve this step by step:

Step 2:
: Understand the definition of symmetry lines

A line of symmetry is a line that divides a shape into two identical halves that are mirror images of each other.

Step 3:
: Analyze the rectangle's possible symmetry lines

For a rectangle, there are four possible lines of symmetry: - Two vertical lines (through the center vertically) - Two horizontal lines (through the center horizontally)

Step 4:
: Verify the symmetry lines

- Vertical line 1: Divides the rectangle into two equal left and right halves - Vertical line 2: Also divides the rectangle into two equal left and right halves - Horizontal line 1: Divides the rectangle into two equal top and bottom halves - Horizontal line 2: Also divides the rectangle into two equal top and bottom halves

Step 5:
: Count the lines of symmetry

Total number of symmetry lines = 4

Final Answer

A rectangle has 4 lines of symmetry.