To find: the method which is applicable to show that quadrilateral 6 is also a parallelogram.
Answer to Problem 8WE
If one pair of opposite sides of quadrilateral are equal and parallel, then the quadrilateral is parallelogram.
Explanation of Solution
Given information:
Given figure,
Given:
The quadrilaterals numbers 1, 2, 3, 4, and 5 are parallelograms.
Calculation:
It is required to show that quadrilateral 6 is a parallelogram.
It is given that quadrilaterals 1, 2, 3, 4, and 5 are parallelograms.
All opposite side of this parallelogram are congruent and parallel.
Therefore, one can use this theorem to prove that quadrilateral 6 is a parallelogram.
“If one pair of opposite sides of quadrilateral are equal and parallel, then the quadrilateral is parallelogram”.
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