Aim: what are the properties of quadrilaterals? Do Now: Name 2 ways to identify a parallelogram as a...

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

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Transcript of Aim: what are the properties of quadrilaterals? Do Now: Name 2 ways to identify a parallelogram as a...

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

parallelogramProperties To 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

rectangle

Properties To 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

Page 4: 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.

rhombus

Properties To 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

square

Properties To 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

Page 6: 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.

trapezoid

Properties To prove the quadrilateral is a trapezoid

• exactly one pair of parallel sides

• one pair of parallel sides and one pair of non- parallel sides

Page 7: 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.

isosceles trapezoidProperties To 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

Page 8: 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.

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Page 9: 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.

Good job guys

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