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Section 8.4 – Properties of Rhombuses, Rectangles, and Squares . Three Special Parallelograms . Rhombus A parallelogram with four congruent sides Rectangle A parallelogram with four right angles Square A parallelogram with four congruent sides and four right angles . Example .
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Section 8.4 – Properties of Rhombuses, Rectangles, and Squares
Three Special Parallelograms • Rhombus • A parallelogram with four congruent sides • Rectangle • A parallelogram with four right angles • Square • A parallelogram with four congruent sides and four right angles
Example • For any rhombus QRST, decide whether the following statements are sometimes, always, or never true. • Angle Q is congruent to angle S • Angle Q is congruent to angle R
Example • Classify the following quadrilateral. Explain your reasoning.
Properties of Rhombuses • A parallelogram is a rhombus if and only if its diagonals are perpendicular. • A parallelogram is a rhombus if and only if each diagonalbisects a pair of opposite angles.
Property of a Rectangle • A parallelogram is a rectangle if and only if its diagonals are congruent.