Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics.

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Presentation transcript:

Objectives To identify any quadrilateral, by name, as specifically as you can, based on its characteristics

Special Quadrilaterals There are several special types of quadrilaterals. They are classified based on their sides or angles.

Quadrilateral Family Tree Kite Right Trapezoid

A quadrilateral is a polygon with 4 sides. Quadrilateral Family Tree Right Trapezoid

Quadrilateral a quadrilateral is a polygon with 4 sides.

Right Trapezoid

A parallelogram is a quadrilateral with two pairs of parallel sides.

Parallelogram Definition: a quadrilateral with two pairs of parallel sides

A rhombus is a parallelogram that is equilateral.

Rhombus Definition: a parallelogram with 4 congruent sides. 4 in.

Right Trapezoid

A rectangle is a parallelogram that is equiangular.

Rectangle Definition: a parallelogram with 4 congruent angles, all 90 degrees.

Right Trapezoid

A square is a specific case of both a rhombus AND a rectangle, equiangular and equilateral.

Square Definition: a regular parallelogram An equilateral rectangle An equiangular rhombus

A trapezoid is a quadrilateral with only one pair of parallel sides. Right Trapezoid

A trapezoid is a quadrilateral with only one pair of parallel sides.

Trapezoid Definition: a quadrilateral with exactly one pair of parallel sides. trapezoids

An isosceles trapezoid is a trapezoid with the legs congruent. Right Trapezoid

An isosceles trapezoid is a trapezoid with the legs congruent. A right trapezoid has one leg ┴ to the // lines

a trapezoid with congruent legs. Legs are the non-parallel sides Isosceles Trapezoid: A trapezoid with parallel sides perpendicular to one leg. Right Trapezoid

An kite is a quadrilateral with NO parallel sides but 2 pairs of adjacent congruent sides.

Kite An kite is a quadrilateral with NO parallel sides but 2 pairs of adjacent congruent sides.

Kite 2 in. 4 in. 2 in. Definition: A kite is a quadrilateral with 2 pairs of consecutive congruent sides (adjacent congruent sides) No sides are parallel!