Quadrilaterals -...
Transcript of Quadrilaterals -...
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Quadrilaterals
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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;
• ALL 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 trapezoid trapezoids
Isosceles Trapezoid – the non-parallel sides are 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
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.
A kite is a quadrilateral with NO parallel sides.
It does have 2 pairs of adjacent, congruent sides.
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Quadrilateral Angles
• If you add all the interior angles in
a quadrilateral together, it will
equal 360 degrees.