Whether the given quadrilateral is a parallelogram.
Answer to Problem 24SGR
Yes, the given quadrilateral is a parallelogram as one of the pairs of opposite sides of a quadrilateral is both, parallel and congruent.
Explanation of Solution
Given:
The given figure is:
Calculation:
According to the conditions of a parallelogram;
If one of the pairs of opposite sides of a quadrilateral is both, parallel and congruent, then the quadrilateral is a parallelogram.
Therefore, in this given figure, one of the pairs of opposite sides of a quadrilateral is both, parallel and congruent.
Hence,
Yes, the given quadrilateral is a parallelogram as one of the pairs of opposite sides of a quadrilateral is both, parallel and congruent.
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