Warm Up

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Warm Up
Problem of the Day
Lesson Presentation
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Learn to name and identify types of
quadrilaterals.
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Insert Lesson Title Here
Vocabulary
parallelogram rhombus rectangle square trapezoid k
ite
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Some quadrilaterals have properties that classify
them as special quadrilaterals. Here are six
major special quadrilaterals.
A parallelogram has two pairs of parallel sides.
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Some quadrilaterals have properties that classify
them as special quadrilaterals. Here are six
major special quadrilaterals.
A rhombus has four congruent sides.
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Some quadrilaterals have properties that classify
them as special quadrilaterals. Here are six
major special quadrilaterals.
A rectangle has four right angles.
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Some quadrilaterals have properties that classify
them as special quadrilaterals. Here are six
major special quadrilaterals.
A square has four congruent sides and four right
angles.
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Some quadrilaterals have properties that classify
them as special quadrilaterals. Here are six
major special quadrilaterals.
A trapezoid has exactly one pair of parallel
sides.
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Some quadrilaterals have properties that classify
them as special quadrilaterals. Here are six
major special quadrilaterals.
A kite has exactly two pairs of congruent
adjacent sides.
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Quadrilaterals can have more than one name
because the special quadrilaterals sometimes
share properties.
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Additional Example 1A Identifying Types of
Quadrilaterals
Give all the names that apply to the
quadrilateral.
This figure has two pairs of parallel sides, so
it is a parallelogram.
It has four congruent sides, so it is also a
rhombus.
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Additional Example 1B Identifying Types of
Quadrilaterals
Give all the names that apply to the
quadrilateral.
The figure has exactly two pairs of congruent,
adjacent sides, so it is a kite.
It does not fit the definitions of any of the
other special quadrilaterals.
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Additional Example 1C Identifying Types of
Quadrilaterals
Give all the names that apply to the
quadrilateral.
The figure has two pairs of parallel sides, so it
is a parallelogram.
It has four right angles, so it is also a
rectangle.
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Try This Example 1A
Give all the names that apply to the
quadrilateral.
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.
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Try This Example 1B
Give all the names that apply to the
quadrilateral.
The figure has two pairs of parallel sides, so it
is a parallelogram.
6 ft
6 ft
It has four congruent sides, so it is also a
rhombus.
6 ft
6 ft
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Try This Example 1C
Give all the names that apply to the
quadrilateral.
The figure has exactly one pair of parallel
sides, so it is a trapezoid.
It does not fit the definitions of any of the
other special quadrilaterals.
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Additional Example 2A Recognizing Relationships
Between Quadrilaterals
Tell whether the statement is true or false.
Explain your answer.
A. All rhombuses are squares.
A rhombus has four congruent sides, but some may
or may not have right angles. The statement is
false.
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Additional Example 2B Recognizing Relationships
Between Quadrilaterals
Tell whether the statement is true or false.
Explain your answer.
B. Not all squares are rectangles.
A square has four right angles. A rectangle also
has four right angles. So a square is a
rectangle. The statement is false.
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Additional Example 2C Recognizing Relationships
Between Quadrilaterals
Tell whether the statement is true or false.
Explain your answer.
C. Some parallelograms are squares.
A square has all the properties of a
parallelogram, so some parallelograms do have
equal sides and right angles however, some do
not. The statement is true.
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Try This Example 2A
Tell whether the statement is true or false.
Explain your answer.
A. All squares are rectangles.
A square has four right angles. A rectangle also
has four right angles. So a square is a
rectangle. The statement is true.
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Try This Example 2B
Tell whether the statement is true or false.
Explain your answer.
B. Some rectangles are squares.
If the rectangle has four congruent sides, then
it is a square. The statement is true.
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Try This Example 2C
Tell whether the statement is true or false.
Explain your answer.
C. Some trapezoids are squares.
A square has two sets of parallel sides, but a
trapezoid has only one set of parallel sides. The
statement is false.
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Insert Lesson Title Here
Lesson Quiz Part 1
1. Give all the names that apply to the
quadrilateral.
rhombus quadrilateral parallelogram
Identify the quadrilateral described.
2. 4 right angles, 4 congruent sides
square
3. only one pair of parallel sides
trapezoid
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Insert Lesson Title Here
Lesson Quiz Part 2
Tell if each statement is true or false. Explain.
4. All quadrilaterals are parallelograms.
False a quadrilateral is any 4-sided polygon.
5. Every parallelogram is a rectangle.
False a rectangle is a specific kind of
parallelogram with four right angles.