Whether each quadrilateral is a parallelogram.
Answer to Problem 12PPS
In the given figure, one of the pairs of opposite sides is only congruent and only one diagonal bisects the other. But the other pair of opposite sides may not be parallel and also the other diagonal might not bisect the diagonal, hence the figure is not a parallelogram.
Explanation of Solution
Given:
The given figure is:
Calculation:
If any of the pairs of opposite sides of a quadrilateral are both, parallel and congruent, then the quadrilateral is a parallelogram.
Also, if the diagonals of the quadrilateral bisect each other, it is a parallelogram.
In the given figure, one of the pairs of opposite sides is only congruent and only one diagonal bisects the other. But the other pair of opposite sides may not be parallel and also the other diagonal might not bisect the diagonal, hence the figure is not a parallelogram.
Chapter 6 Solutions
Geometry, Student Edition
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