7-7 Quadrilaterals
Learn to name and identify types of
quadrilaterals.
Course 2
7-7 Quadrilaterals
Insert Lesson Title Here
Vocabulary
parallelogram
rhombus
rectangle
square
trapezoid
kite
Course 2
7-7 Quadrilaterals
Some quadrilaterals have properties that
classify them as special quadrilaterals. Here
are six major special quadrilaterals.
A parallelogram has two pairs of
parallel sides.
Course 2
7-7 Quadrilaterals
Some quadrilaterals have properties that
classify them as special quadrilaterals. Here
are six major special quadrilaterals.
A rhombus has four congruent sides.
Course 2
7-7 Quadrilaterals
Some quadrilaterals have properties that
classify them as special quadrilaterals. Here
are six major special quadrilaterals.
A rectangle has four right angles.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
Quadrilaterals can have more than one
name because the special quadrilaterals
sometimes share properties.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
Try This: Example 1B
Give all the names that apply to the quadrilateral.
6 ft
6 ft
6 ft
6 ft
Course 2
The figure has two pairs
of parallel sides, so it is
a parallelogram.
It has four congruent sides,
so it is also a rhombus.
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
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.
Course 2
7-7 Quadrilaterals
Insert Lesson Title Here
Lesson Quiz: Part 1
1. Give all the names that apply to the
quadrilateral.
rhombus
parallelogram
Identify the quadrilateral described.
2. 4 right angles, 4 congruent sides
square
3. only one pair of parallel sides
trapezoid
Course 2
7-7 Quadrilaterals
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.
Course 2