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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