7.4 special parallelograms
TRANSCRIPT
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7.4 Special ParallelogramsRectangles, Rhombi and Squares
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Warm-upPlace the words Parallelograms, Rectangles, Rhombi and Squares in the Venn Diagram.
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• https://www.youtube.com/watch?v=lW3I7yz5nVo
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Parallelogram Family Tree
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Definitions• Rectangle – An equiangular parallelogram.• Rhombus – An equilateral parallelogram.• Square – A regular parallelogram
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Let’s Investigate The Diagonals of Special Parallelograms
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Parallelogram Diagonals ConjecturesParallelogram: 1) Diagonals bisect each other.
Rectangle: 1) Diagonals bisect each other. 2) Diagonals are congruent.Rhombus: 1) Diagonals bisect each other. 2) Diagonals bisect the angles of the rhombus.3) Diagonals are perpendicular.
Square: 1) Diagonals bisect each other.2) Diagonals bisect the angles of the square.
3) Diagonals are perpendicular.4) Diagonals are congruent.
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Using diagonals to prove a quadrilateral is a special parallelogram
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Always, Sometimes or Never
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Guided Practice1)
2)
3)
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Exit Ticket• Place the words Parallelograms, Rectangles,
Rhombi and Squares in the Venn Diagram.