The classification of each quadrilateral.
Answer to Problem 31PPS
The given figure is a square.
Explanation of Solution
Given:
The given figure is:
Calculation:
The given figure can be drawn as:
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.
The diagonals in the given figure are bisecting each other, hence it is a parallelogram.
Also, the diagonals are perpendicular, hence it is a rhombus.
And, the diagonals are also congruent, hence, it is also a rectangle.
Therefore, the given figure is a square.
Chapter 6 Solutions
Geometry, Student Edition
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