
Concept explainers
Whether JKLM is a rhombus, a rectangle or a square.

Answer to Problem 20PPS
QRST is a rhombus.
Explanation of Solution
Given:
The vertices are:
Calculation:
Plot the vertices on the graph:
According to Rectangle Theorem, if the diagonals of a parallelogram are congruent, then it is a rectangle.
According to Rhombi Theorem, if the diagonals of a parallelogram are perpendicular, then it is a rhombus.
According to Square Theorem, if the quadrilateral is both, a rectangle and a rhombus, then it is a square.
Consider the diagonals of JKLM:
Finding the length of JL:
Finding the length of KM:
Both of these diagonals are not congruent, hence, QRST is not a rectangle.
Finding the slope of JL:
Finding the slope of KM:
As,
Hence, QRST is a rhombus.
Chapter 6 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
A First Course in Probability (10th Edition)
Elementary Statistics (13th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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