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Parallelograms have Properties Click to view What is a parallelogram? A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Properties of Every Parallelogram: Both pairs of opposite sides are congruent. Both pairs of opposite angles are congruent. Consecutive adjacent angles are supplementary. Diagonals bisect each other. “Special Parallelograms” Rectangle Rhombus Square Quadrilaterals Parallelogram Rectangle Rhombus Square What is a rectangle? A rectangle is a parallelogram with four right angles. What are the properties of a rectangle? All the properties of every parallelogram. (What are these properties?) All four angles are right angles. The diagonals are congruent. What is a rhombus? A rhombus is a parallelogram with four congruent sides. What are the properties of a rhombus? All the properties of every parallelogram. The diagonals are perpendicular. Each diagonal bisects two angles of the rhombus. What is a square? A square is a parallelogram with four right angles and four congruent sides. What are the properties of a square? A square has all the properties of every parallelogram. A square has all the properties of a rectangle. A square has all the properties of a rhombus. A square is a parallelogram, a rectangle, and a rhombus! Summary Slide What is a parallelogram? Properties of Every Parallelogram: What is a rectangle? What are the properties of a rectangle? What is a rhombus? What are the properties of a rhombus? What is a square? What are the properties of a square? Your turn: 1. 2. Do: On your paper, list the properties of a square. Think: How can you use these properties to determine the measures of sides, angles, and diagonals of a parallelogram? Be ready to share your thoughts! Home