Question

#
Number of lines of symmetry does a trapezoid have

Number of lines of symmetry does a trapezoid have

- 1
- 0
- 4
- 5

Hint:

### 1. Lines of symmetry refers to a line that cuts a given shape into 2 identical halves.

2. A trapezoid is a quadrilateral that has 1 pair of opposite sides parallel to each other.

## The correct answer is: 1

### GIVEN-

Given shape = Trapezoid

TO FIND-

Number of lines of symmetry that the given figure has.

SOLUTION-

We know that a trapezoid has 1 pair of opposite sides parallel to each other and other 2 sides may or may not be equal in lengths.

Hence, a trapezoid with 1 pair of opposite sides parallel and the other pair congruent (equal to each other) has 1 line of symmetry when it is drawn vertically.

When we draw a horizontal line, the resultant parts of the trapezoid will not be identical.

FINAL ANSWER-

Option 'a' i.e. '1' is the correct answer to the given question.

For a trapezoid with one pair of opposite sides being parallel and other sides not equal (scalene or a rights angled trapezoid), there are no lines of symmetry.

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