Vocabulary

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Vocabulary
parallelogram rectangle rhombus square trapezoid
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Some quadrilaterals have properties that classify
them as special quadrilaterals.
Parallelogram Both pairs of opposite sides are
parallel. You can also classify a quadrilateral
as a parallelogram if both pairs of opposite
sides or both pairs of opposite angles are
congruent.
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A rectangle is a parallelogram with four right
angles.
A rhombus is a parallelogram with four congruent
sides.
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A square is a parallelogram with four congruent
sides and four right angles.
A trapezoid has exactly one pair of opposite
sides that are parallel.
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Quadrilaterals can have more than one name
because the special quadrilaterals sometimes
share properties.
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Additional Example 1 Classifying Quadrilaterals
Give all the names that apply to the
quadrilateral. Then give the name that best
describes it. A.
This figure has two pairs of parallel sides, so
it is a parallelogram.
It has four congruent sides, so it is also a
rhombus.
Rhombus best describes this quadrilateral.
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Additional Example 1 Identifying Types of
Quadrilaterals
Give all the names that apply to the
quadrilateral. Then give the name that best
describes it. B.
The figure has exactly one pair of opposite sides
that is parallel, so it is a trapezoid.
Trapezoid best describes this quadrilateral.
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Additional Example 1 Identifying Types of
Quadrilaterals
Give all the names that apply to the
quadrilateral. Then give the name that best
describes it. C.
The figure has two pairs of parallel sides, so it
is a parallelogram.
It has four right angles, so it is also a
rectangle.
Rectangle best describes this quadrilateral.
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Additional Example 1 Identifying Types of
Quadrilaterals
Give all the names that apply to the
quadrilateral. Then give the name that best
describes it. D.
The figure has two pairs of parallel sides and
both pairs of opposite angles are congruent, so
it is a parallelogram.
Parallelogram best describes this quadrilateral.
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Check It Out! Example 1
Give all the names that apply to the
quadrilateral. Then give the name that best
describes it. A.
This figure has two pairs of parallel sides, so
it is called a parallelogram.
It has four right angles, so it is also a
rectangle.
Rectangle best describes this quadrilateral.
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Check It Out! Example 1
Give all the names that apply to the
quadrilateral. Then give the name that best
describes it. B.
The figure has two pairs of parallel sides, so it
is a parallelogram.
It has four congruent sides, so it is also a
rhombus. It does not have four right angles, so
it is not a square or rectangle.
Rhombus best describes this quadrilateral.
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Check It Out! Example 1
Give all the names that apply to the
quadrilateral. Then give the name that best
describes it. C.
The figure has two pairs of opposite sides that
are parallel, so it is a parallelogram.
It has four right angles, so it is also a
rectangle. It has four congruent sides, so it is
also a rhombus and a square.
Square best describes this quadrilateral.
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Additional Example 2 Drawing Quadrilaterals
Draw each figure. If it is not possible to draw
explain why.
A. a rectangle that is not a rhombus.
The figure has opposite sides that are parallel
but does not have four congruent sides.
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Additional Example 2 Drawing Quadrilaterals
Draw each figure. If it is not possible to draw
explain why.
B. a square that is not a rhombus.
Not possible all squares are rhombi because they
have 4 congruent sides.
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Check It Out! Example 2
Draw each figure. If it is not possible to draw
explain why.
A. a trapezoid that is a rectangle.
Not possible A rectangle has four right angles
and a trapezoid does not.
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Check It Out! Example 2
Draw each figure. If it is not possible to draw
explain why.
B. a rhombus that is not a square.
Possible answer
The figure has four congruent sides but no right
angles.