Whether each quadrilateral is a parallelogram.
Answer to Problem 14PPS
As one pair of consecutive
Hence, the given quadrilateral is not a parallelogram.
Explanation of Solution
Given:
The given figure is:
Calculation:
In a parallelogram, both the pairs of opposite sides are parallel to one another.
In the given figure, the given pair of consecutive angles are supplementary as
As one pair of consecutive angles is supplementary, this implies that one pair of opposite sides is parallel. The other pair of opposite sides might not be parallel.
Hence, the given quadrilateral is not a parallelogram.
Chapter 6 Solutions
Geometry, Student Edition
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