Name
LESSON
Date
Class
Problem Solving
9-8 Classifying Quadrilaterals
Write the correct answer.
1. A garden has 2 pairs of congruent
sides. The congruent sides are not
adjacent, and the angles are not
all congruent. What is the shape of
the garden?
2. A poster advertising an art show has
1 pair of parallel sides. All the angles
are different, and none of the sides
are congruent. What is the shape of
this poster?
3. In a math report, Ming said that since
a rhombus has 4 equal sides and a
square has 4 equal sides, all
rhombuses are squares. Is she
correct? Explain.
4. A student was asked to give an
example of a polygon that is not a
quadrilateral and an example of a
quadrilateral that is not a polygon. Is
this possible? Why or why not?
Choose the letter for the best answer.
This is a drawing of Piet Mondrian’s
painting Composition 8.
5. Which type of quadrilateral do you
see most in the painting?
A rhombus
C rectangle
B trapezoid
D square
6. Which type of quadrilateral does not
appear to be in the painting?
F rectangle
G parallelogram
H square
J trapezoid
8. Which statement is true about the
painting?
F There are no triangles.
G There are only squares.
H There are no squares.
J None of the above
7. Which statement is true about
the painting?
A There are no parallelograms.
B There are only rectangles.
C There are only quadrilaterals.
D None of the above
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
70
Holt Mathematics
Challenge
9-8 It’s Only a Quadrilateral!
Problem Solving
9-8 Classifying Quadrilaterals
LESSON
LESSON
Match each picture with the list showing which quadrilaterals
are found in the picture.
1.
Write the correct answer.
1. A garden has 2 pairs of congruent
sides. The congruent sides are not
adjacent, and the angles are not
all congruent. What is the shape of
the garden?
List A:
rhombus
trapezoid
rectangle
2. A poster advertising an art show has
1 pair of parallel sides. All the angles
are different, and none of the sides
are congruent. What is the shape of
this poster?
parallelogram
2.
List B:
trapezoid
rectangle
square
parallelogram
3.
69
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
4. A student was asked to give an
example of a polygon that is not a
quadrilateral and an example of a
quadrilateral that is not a polygon. Is
this possible? Why or why not?
No, a rhombus does not always
No, all quadrilaterals
have 4 right angles.
are polygons.
Choose the letter for the best answer.
List C:
rhombus
rectangle
square
parallelogram
4. Draw a design on the rug using only the following quadrilaterals:
trapezoid, rectangle, and rhombus. You can use as many of each
figure as you like, but all must be used at least once.
trapezoid
3. In a math report, Ming said that since
a rhombus has 4 equal sides and a
square has 4 equal sides, all
rhombuses are squares. Is she
correct? Explain.
This is a drawing of Piet Mondrian’s
painting Composition 8.
5. Which type of quadrilateral do you
see most in the painting?
A rhombus
C rectangle
B trapezoid
D square
Answers will
vary, but
student’s
designs should
include only
trapezoids,
rectangles,
and rhombi,
no parallelograms that
are not
rectangles.
Holt Mathematics
Reading Strategies
9-8 Use A Diagram
6. Which type of quadrilateral does not
appear to be in the painting?
F rectangle
G parallelogram
H square
J trapezoid
8. Which statement is true about the
painting?
F There are no triangles.
G There are only squares.
H There are no squares.
J None of the above
7. Which statement is true about
the painting?
A There are no parallelograms.
B There are only rectangles.
C There are only quadrilaterals.
D None of the above
70
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Puzzles, Twisters & Teasers
9-8 Charge!
LESSON
LESSON
Quadrilaterals are plane figures that have four sides and four
angles. All the figures inside the largest region are quadrilaterals.
Fill in the blanks to complete each statement. Use the letters
above each number to solve the riddle below.
C O
Quadrilaterals
Quadrilateral
A
U
Rhombus
P A R A
N T
means “same size and shape.”
L
L
E
L O
A
T
R A P
E
Z
O
I
G R A M
has two pairs
D
has only one pair of parallel sides.
3
Rhombuses
R
Rectangles
Q
Square
Rectangle
E
2
of parallel sides.
Parallelograms
Parallelogram
N G R
1
Trapezoid
U
A
D R
I
L
A
T
E
R
A
L
S
are four-sided polygons
4
that can have more than one name.
A
T
R
I
A N G
L
E
T
G
is a closed figure with three sides.
5
A
Parallelograms have two sets of opposite sides that are parallel
and congruent. Opposite angles are also congruent. All the figures
inside the next largest region are parallelograms.
R
E
C
A
N
L
E
has four right angles.
6
A
Rectangles are quadrilaterals and parallelograms. They also have
four right angles. Rhombuses are quadrilaterals and parallelograms
with sides of equal length.
C
I
R C
L
E
is a figure without angles or straight lines.
S Q U A R
E
has four congruent sides and four right angles.
7
A
8
Use the diagram above to help you complete each question.
A
1. All parallelograms are quadrilaterals, true or false?
true
2. Identify a quadrilateral that is not a parallelogram.
Possible answer: trapezoid
3. Identify a quadrilateral that is also a parallelogram.
5. Identify a rectangle with four equal sides.
6. A rhombus is a rectangle, true or false?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
71
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
U
S
J
A
has four congruent sides and no right angles.
9
Sides that are
A
D
C
E
N
T
have a shared vertex.
10
Possible answers: rhombus,
How do you stop a rhinoceros from charging?
square, rectangle
4. All parallelograms are rectangles, true or false?
R H O M B
Take away his
false
C R E
D
I
T
C
A
R D
1
4
5
6
7
8
9
2
3
10
square
false
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
112
72
Holt Mathematics
Holt Mathematics