Quadrilaterals

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Quadrilaterals

• Polygons with four sides

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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.

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Types of Quadrilaterals

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

Indicates equal sides
Box indicates 900 angle
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Types of Quadrilaterals

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

Indicates equal sides
Box indicates 900 angle
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Types of Quadrilaterals

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

Indicates equal sides
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Types of Quadrilaterals

• Rhombus Parallelogram with four equal sides and
  opposite angles equal

Indicates equal sides
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Types of Quadrilaterals

• Trapezoid Quadrilateral with one pair of
  parallel sides

Parallel sides never meet.
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Right-Angle Trapezoid
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Isosceles Trapezoid

• A geometric figure with two sides of equal length.

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Scalene Trapezoid

• A geometric figure with sides of unequal lengths.

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Types of Quadrilaterals

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

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Name the Quadrilaterals
1
3
2
irregular
rhombus
rectangle
5
6
4
parallelogram
trapezoid
square
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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.