The graph of each quadrilateral with given vertices.
Answer to Problem 23PPS
It is not a rectangle.
Explanation of Solution
Given:
The vertices are:
Calculation:
The graph will be:
The diagonals of a rectangle are congruent and bisect each other.
The length of JK is:
The length of KL is:
The length of LM is:
The length of JM is:
As, JK = LM and KL = JM, the opposite sides are congruent.
Hence, QRST is a parallelogram.
Also, when the diagonals of a parallelogram are congruent, then it is a rectangle.
The length of KM is:
The length of JL is:
As, KM is not equal to JL, the diagonals are not congruent.
Hence, it is not a rectangle.
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