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Published byCaroline Hill Modified over 2 years ago

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A quadrilateral with both pairs of opposite sides parallel *opposite sides are congruent *opposite angles are congruent *diagonals bisect each other

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Parallelogram with 4 congruent sides * all properties of parallelograms * Diagonals are * Diagonals Bisect each pair of opposite angles

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A parallelogram with 4 right angles * All properties of Parallelograms *Diagonals are congruent

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A parallelogram with 4 right angles and 4 congruent sides *All properties of parallelograms *All properties of Rhombuses *All properties of Rectangles

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How do they fit together? Parallelogram Rhombus Rectangle Square When comparing top down, the shapes are sometimes. When comparing bottom up, the shapes are always

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Example: decide if the statement is always, sometimes or never true. 1. A rectangle is a square1. Sometimes 2. A Square is a rhombus 3. A rhombus is a parallelogram 4. A square is a quadrilateral 5. A parallelogram is a rectangle 6. A square is a trapezoid 2. Always 3. Always 4. Always 5. Sometimes 6. Never

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Example: ABCD is a rectangle. m**
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Example: ABCD is a rhombus. Find the value of x 140x A BC D **
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Example: ABCD is a rectangle. Find the value of x AB CD 7x-12 2x+13 7x-12 = 2x+13 5x-12=13 5x=25 x=5

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Example: GHJK is a parallelogram Find A. JH =_______ B. LH = ______ K J H G 8 6 L 8 6

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Example: in Parallelogram ABCD, m

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Example: WXYZ is a parallelogram, find x W X Y Z 4x-9 3x+18 4x-9=3x+18 -3x X-9= X=27

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Example: UVWX is a parallelogram U V W X Z 1. XU = 15, UW = 28, WZ= _____ 2.

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