1. Aim: what are the properties of quadrilaterals? Do Now: Name 2 ways to identify a parallelogram as a square 1.A rectangle with 1 pair of consecutive congruent sides 2.A rhombus with a right angle

2. parallelogram PropertiesTo prove the quadrilateral is a parallelogram both pairs of opp. sides are parallel both pairs of opp. sides are congruent both pairs of opp. angles are congruent consecutive angles are supplementary diagonals bisect each other a diagonal divides it into two congruent triangles both pairs of opp. sides are parallel both pairs of opp. sides are congruent both pairs of opp. angles are congruent diagonals bisect each other one pair of opp. sides both parallel and congruent

3. rectangle PropertiesTo prove the quadrilateral is a rectangle all 6 parallelogram properties all angles are right angles (equiangular) the diagonals are congruent a parallelogram with one right angle a parallelogram with congruent diagonals

4. rhombus PropertiesTo prove the quadrilateral is a rhombus all 6 parallelogram properties all 4 sides are congruent (equilateral) the diagonals bisect the angles the diagonals are perpendicular to each other a parallelogram with one pair of consecutive congruent sides a parallelogram with perpendicular diagonals a parallelogram whose diagonals bisect the angles

5. square PropertiesTo prove the quadrilateral is a square all rectangle properties all rhombus properties a rectangle with one pair of consecutive congruent sides a rhombus with a right angle

6. trapezoid PropertiesTo prove the quadrilateral is a trapezoid exactly one pair of parallel sides one pair of parallel sides and one pair of non- parallel sides

7. isosceles trapezoid PropertiesTo prove the quadrilateral is a isosceles trapezoid a trapezoid in which the non- parallel sides are congruent exactly one pair of parallel sides non- parallel sides are congruent the diagonals are congruent the base angles are congruent

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9. Good job guys