Section 6-4 Special Parallelograms SPI 32A: identify properties of plane figures from information in a diagram SPI 32 H: apply properties of quadrilaterals to solve a real-world problem Objectives: Use properties of diagonals of rhombuses and rectangles Determine whether a parallelogram is a rhombus or rectangle Definition: Parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Types of Quadrilaterals Parallelogram with four congruent sides

Theorem 6-9 Each diagonal of a rhombus bisects two angles of the rhombus Theorem 6-10 The diagonals of a rhombus are perpendicular.

Types of Quadrilaterals Parallelogram with four right angles

Theorem 6-11 The diagonals of a rectangle are congruent.

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Theorem 6-9: Each diagonal of a rhombus bisects two angles of the rhombus Given: Rhombus ABCD Prove: ABCD is a RhombusGiven Def of Rhombus ∆ABC  ∆ADC  1  2 and  3  4 Therefore, Reflexive Prop of  SSS  CPCTC