Concept explainers
The graph of each quadrilateral with given vertices and whether the figure forms a parallelogram or not.
Answer to Problem 25PPS
JKLM is not a parallelogram.
Explanation of Solution
Given:
The given vertices are:
Calculation:
A quadrilateral is a parallelogram if both pairs of its opposite sides are congruent.
The quadrilateral with given vertices will be:
The length of JK is:
The length of KL is:
The length of LM is:
The length of JM is:
As JK is not equal to ML and JM is not equal to KL, therefore none of the opposite sides are congruent.
Therefore, by the definition of a parallelogram, JKLM is not a parallelogram.
Chapter 6 Solutions
Geometry, Student Edition
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