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Section 8.4 – Properties of Rhombuses, Rectangles, and Squares

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

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  1. Section 8.4 – Properties of Rhombuses, Rectangles, and Squares

  2. 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

  3. 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

  4. Example • Classify the following quadrilateral. Explain your reasoning.

  5. 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.

  6. Property of a Rectangle • A parallelogram is a rectangle if and only if its diagonals are congruent.

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