Quadrilaterals Worksheet With Answers Page 39

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Squares
A special kind of rhombus is a square defined as follows:
Definition
A square can be defined as a rhombus
with one right angle.
Since a square is also a rectangle, it can be defined as follows:
Definition
A square can be defined as a rectangle
with two adjacent sides congruent.
Since a square is both a rhombus and a rectangle, it has the properties of both as follows.
Properties of a Square
1. Opposite sides of a square are parallel.
2. Opposite sides of a square are congruent.
3. Opposite angles of a square are congruent.
4. Consecutive angles of a square are supplementary.
5. The diagonals of a square bisect each other.
6. The diagonals of a square are perpendicular.
7. Either diagonal of a square bisects a pair of
opposite angles.

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