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Parallelograms have Properties
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What is a parallelogram?
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
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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.
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“Special Parallelograms”
Rectangle Rhombus Square
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Quadrilaterals
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A rectangle is a parallelogram with four right angles.
What is a rectangle? A rectangle is a parallelogram with four right angles.
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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.
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A rhombus is a parallelogram with four congruent sides.
What is a rhombus? A rhombus is a parallelogram with four congruent sides.
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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.
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What is a square? A square is a parallelogram with four right angles and four congruent sides.
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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!
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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?
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Your turn: 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
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