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Parallelogram

Parallelogram. A quadrilateral with both pairs of opposite sides parallel *opposite sides are congruent *opposite angles are congruent *diagonals bisect each other. Rhombus. Parallelogram with 4 congruent sides * all properties of parallelograms * Diagonals are 

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Parallelogram

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

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

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

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

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

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

  7. B C 8x+26 D A Example: ABCD is a rectangle. m<B= 8x+26. What is the value of x 90 = 8x+26 64 = 8x 8 = x

  8. B C 140 x A D Example: ABCD is a rhombus. Find the value of x <B and <C are suppl. X = 40

  9. 7x-12 A B D C 2x+13 Example: ABCD is a rectangle. Find the value of x 7x-12 = 2x+13 5x-12=13 5x=25 x=5

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

  11. B A D C Example: in Parallelogram ABCD, m<C=105 105 Find: A. m<A =____ B. m<D = _____ 75 105

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

  13. U V Z X W Example: UVWX is a parallelogram 14 #3. The angles are supplementary 55+7x-8 = 180 7x+47 = 180 7x = 133 x= 19 1. XU = 15, UW = 28, WZ= _____ 60 2. <VWX = 120, find m<WXU = ___ 3. m<UVW = 55, m<VWX=7x-8, find x

  14. Today's Work

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