ClassifyQuadrilaterals

Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.

A parallelogram has both pairs of opposite sides parallel and congruent. Both pairs of opposite angles are congruent.

Quadrilateral is a polygon with 4 sides.

A rectangle has four right angles.

A rhombus has four congruent sides.

A square has four congruent sidesand four right angles.

A trapezoid has exactly one pairof parallel sides.

Parallelogram

Rectangle

4 right angles

Opposites sides are parallel

long sides are equalshort sides are equal

Quadrilateral

4 sided shape

Trapezoid

Only 1 set of parallel sides

Rhombus

Square 4 equal sides

1

2

4

3

The sum of the measures of the angles in a quadrilateral is 360°.

m1 + m2 + m3 + m4 = 360°

You can put two triangle together to form a Quadrilateral 180

180

Find the unknown angle measure in the quadrilateral.

65° + 89° + 82° + x = 360°

236° + x = 360°

–236° –236°

x = 124°

65° x

89°

82°

67°

92°

x

89°

EX1)

EX2) 67° + 92° + 89° + x = 360°

248° + x = 360°

–248° –248°

x = 112°

Notes

ClassifyQuadrilaterals

Date ____________

Some quadrilaterals have properties that classify them as special quadrilaterals. Here are six major special quadrilaterals.

A parallelogram

Quadrilateral is a polygon with 4 sides.

A rectangle

A rhombus

A square

A trapezoid

Parallelogram

Rectangle

4 right angles

Opposites sides are parallel

long sides are equalshort sides are equal

Quadrilateral

4 sided shape

Trapezoid

Only 1 set of parallel sides

Rhombus

Square 4 equal sides

Find the unknown angle measure in the quadrilateral.

65° x

89°

82°

67°

92°

x

89°

EX1)

EX2)