quadrilaterals ~ mr. nealey ~. objectives to identify any quadrilateral, by name, as specifically as...
DESCRIPTION
Quadrilateral a quadrilateral is a polygon with 4 sides.TRANSCRIPT
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Quadrilaterals
~ Mr. Nealey ~
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Objectives
• To identify any quadrilateral, by name, as specifically as you can, based on its characteristics
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Quadrilateral
• a quadrilateral is a polygon with 4 sides.
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Specific Quadrilaterals
• There are several specific types of quadrilaterals. They are classified based on their sides or angles.
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2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
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2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A quadrilateral simply has 4 sides – no other special requirements.
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Examples of Quadrilaterals
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2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A parallelogram has two pairs of parallel sides.
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Parallelogram
• Two pairs of parallel sides• opposite sides are actually congruent.
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2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A rhombus is a parallelogram that has four congruent sides.
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Rhombus
• Still has two pairs of parallel sides; with opposite sides congruent.
4 in.
4 in.
4 in.
4 in.
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2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A rectangle has four right angles.
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Rectangle
• Still has two pairs of parallel sides; with opposite sides congruent.
• Has four right angles
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2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A square is a specific case of both a rhombus AND a rectangle, having four right angles and 4 congruent sides.
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Square
• Still has two pairs of parallel sides. • Has four congruent sides• Has four right angles
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2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
A trapezoid has only one pair of parallel sides.
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2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
An isosceles trapezoid is a trapeziod with the non-parallel sides congruent.
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Trapezoid
• has one pair of parallel sides.
Isosceles trapezoidtrapezoids
(Each of these examples shown has top and bottom sides parallel.)
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2 pairs adjacent congruent sides
1 pair parallel sides2 pairs parallel
sides
4 right angles4 congruent sidesnon-parallel sides are congruent
Quadrilaterals
Parallelogram
Rectangle
Rhombus
Square
Isosceles Trapezoid
Trapezoid
Kite
An kite is a quadrilateral with NO parallel sides but 2 pairs of adjacent congruent sides.
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Example of a Kite
2 in.
4 in.
4 in.
2 in.
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REVIEW
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How many degrees in a quad?
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Example 1
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