Quadrilaterals

Polygons with four sides

Objectives

You will learn about the characteristics of parallelograms.

You will use the characteristics of parallelograms to solve problems.

You will learn about the characteristics of trapezoids.

You will use the characteristics of trapezoids to solve problems.

Types of Quadrilaterals

Square: Quadrilateral with four equal sides and four right angles (90 degrees)

Indicates equal sides

Box indicates 900 angle

Types of Quadrilaterals

Rectangle: Quadrilateral with two pairs of equal sides and four right angles (90 degrees)

Indicates equal sides

Box indicates 900 angle

Types of Quadrilaterals

Parallelogram: Quadrilateral with opposite sides that are parallel and of equal length and opposite angles are equal

Indicates equal sides

Types of Quadrilaterals

Rhombus: Parallelogram with four equal sides and opposite angles equal

Indicates equal sides

Types of Quadrilaterals

Trapezoid: Quadrilateral with one pair of parallel sides

Parallel sides never meet.

Right-Angle Trapezoid

Isosceles Trapezoid

A geometric figure with two sides of equal length.

Scalene Trapezoid

A geometric figure with sides of unequal lengths.

Types of Quadrilaterals

Irregular shapes: Quadrilateral with no equal sides and no equal angles

Name the Quadrilaterals

12 3

4 5 6

rectangle

irregular

rhombus

parallelogram

trapezoid

square

Interior Angles

Interior angles: An interior angle (or internal angle) is an angle formed by two sides of a simple polygon that share an endpoint

Interior angles of a quadrilateral always equal 360 degrees

Angle sum is the sum of the measures of of all the interior angles in a closed figure.