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ABCD is //gram Find the missing variables

1. A. B. 3y. 2m - 5. ABCD is //gram Find the missing variables. m + 10. 2x. D. C. WXYZ is a parallelogram. If WX = 2x – 11 and ZY = x + 12, find x, WX, and ZY. MNPQ is a parallelograms. If and , find x. Special Parallelograms. Special Parallelograms. RHOMBUS.

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ABCD is //gram Find the missing variables

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  1. 1. A B 3y 2m - 5 ABCD is //gram Find the missing variables m + 10 2x D C • WXYZ is a parallelogram. If WX = 2x – 11 and ZY = x + 12, find x, WX, and ZY. • MNPQ is a parallelograms. If and , find x.

  2. Special Parallelograms

  3. Special Parallelograms RHOMBUS RECTANGLE SQUARE

  4. RHOMBUS FOUR CONGRUENT SIDES

  5. A quadrilateral is a RHOMBUS if and only if it has four congruent sides

  6. RECTANGLE FOUR RIGHT ANGLES

  7. A quadrilateral is a RECTANGLE if and only if it has four right angles

  8. SQUARE FOUR RIGHT ANGLES AND FOUR CONGRUENT SIDES

  9. RHOMBUS Diagonals Bisect A Pair of Opposite Angles

  10. RHOMBUS 90º Diagonals are Perpendicular

  11. RECTANGLE Diagonals are Congruent

  12. Let's make a Venn Diagram Relating all of the Properties of our quadrilaterals

  13. QUADRILATERALS RHOMBUSES RECTANGLES Squares PARALLELOGRAMS

  14. QUADRILATERALS 1. Polygon 2. 4 sides 1. Opposite Sides are congruent RHOMBUSES 1. Diagonals bisect angles RECTANGLES 2. Diagonals perp Squares 1. 4 rt. angles 3. 4 equal sides 2. Diagonals congruent 2. Opposite Angles are congruent 4. Diagonals Bisect 3. Opposite Sides are parallel 5. Consecutive angles are supplementary PARALLELOGRAMS

  15. PQRS is a rhombus P Q S R

  16. PQRS is a rectangle

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