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Properties of special quadrilaterals

Properties of special quadrilaterals. 1. 4 congruent sides (definition) 2. All properties of Parallelograms 3. The diagonals of a rhombus are perpendicular. 4. Each diagonal bisects a set of opposite angles. Properties of Rhombuses. Find the value of each variable. v=108,w=36,x=36,y=36,z=36.

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Properties of special quadrilaterals

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  1. Properties of special quadrilaterals

  2. 1. 4 congruent sides (definition) 2. All properties of Parallelograms 3. The diagonals of a rhombus are perpendicular. 4. Each diagonal bisects a set of opposite angles. Properties of Rhombuses

  3. Find the value of each variable. v=108,w=36,x=36,y=36,z=36 Rhombus Practice v w z y 108 x

  4. Find the value of each variable. v=90,w=55,x=55,z=65,y=35 Rhombus Practice z 35 v y w x

  5. 1. 4 Right Angles (definition) 2. All Properties of Parallelograms 3. Diagonals are congruent (the same length) Properties of a REctangle

  6. Find x, given that AC=3x+1 and BD=8x-4 x=1 Rectangle Practice B A C D

  7. 1. No sets of parallel sides (Definition) 2. Two sets of congruent sides which are adjacent to each other (Definition) 3. Diagonals are perpendicular. 4. One of the diagonals bisects a set of opposite angles Properties of Kites

  8. Find the value of each variable. v=53,w=53,x=44,y=90,z=46 Kite Practice x 44 z y v w 37

  9. Find the value of each variable. x=114,y=114 KITE PRACTICE 80 y x 52

  10. 1. One set of parallel sides (Definition) 2. Two sets of same side interior angles are supplementary (parallel line required) Properties of Trapezoids

  11. 1. All properties of Trapezoids 2. Two congruent legs (Definition) 3. Sets of base angles are congruent 4. The diagonals are congruent Properties of Isosceles Trapezoids

  12. Find the value of each variable. x=57,y=123,z=123 Trapezoid practice y z 57 x

  13. Find x. The figure below is a kite. x=28 Quadrilateral Practice with solving equations 2x-4 2x x+6

  14. Regular Geometry: WKST 6.4 and 6.5 Honors Geometry: Homework

  15. P 316 (25-34) Fill in the chart based on the properties of each Quadrilateral we have discussed. Group Work

  16. The figure below is not draw to scale. 1. ABllCD, ADllBC Parallelogram 2. AB=AD=DC=BC, <A=90 Square 3. BD is perpendicular to AC, AB=BC, AD=CD, AB≠AD Kite Given the facts, Identify the shape. A B E D C

  17. The figure below is not draw to scale. 1. CDllAB, CD≠AB Trapezoid 2. AC=BD, BD is not perpendicular to AC, AB=CD, AD=BC Rectangle 3. <ABC=<BCD=<CDA=<DAB, AC is perpendicular to BD square  Given the facts, Identify the shape. A B E D C

  18. The figure below is not draw to scale. 1. Parallelogram ABCD, AC=BD, AD=DC Square 2. ∆ABC=∆CDA Parallelogram 3. ∆BCA=∆DCA, AD≠DC Kite Given the facts, Identify the shape. A B E D C

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