Download 15.1 Classify Quadrilaterals

Name
15.1
?
Geometry and
Measurement—3.6.A,
3.6.B
MATHEMATICAL PROCESSES
3.1.D, 3.1.F
Classify Quadrilaterals
Essential Question
How can you use right angles and parallel sides to
help you classify quadrilaterals?
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Unlock the
the Problem
Problem
An angle is formed by two rays that share an
endpoint. Two dimensional figures have angles
formed by two line segments that share an endpoint.
The shared endpoint is called a vertex. The plural of
vertex is vertices.
Jason drew this polygon
on dot paper.
There are __ angles.
There are __ sides.
ray
endpoint
Math Idea
A polygon is
a closed plane
figure with
straight sides that
are line segments.
Jason’s polygon has 2 right angles. They form
square corners. You can use the corner of a sheet of
paper to tell if an angle is a right angle. Draw boxes
to show the right angles.
Look at Jason’s polygon.
How many pairs of sides
are parallel?
Think: Which sides will
never cross or meet?
© Houghton Mifflin Harcourt Publishing Company
Lines that appear to never cross or meet and are always
the same distance apart are parallel lines.
So, Jason’s polygon has __ pair of parallel sides.
Module 15
481
Classify Quadrilaterals Quadrilaterals are
named by their sides and their angles.
ERROR Alert
Some quadrilaterals
cannot be classified as a
trapezoid, parallelogram,
rectangle, square, or
rhombus.
Describe quadrilaterals.
quadrilateral
__ sides
__ angles
trapezoid
exactly __ pair of opposite sides that are parallel
lengths of sides could be the same
parallelogram
__ pairs of opposite sides that are parallel
rectangle
square
rhombus
_ pairs of opposite
_ pairs of opposite
_ pairs of opposite
sides that are parallel
sides that are parallel
sides that are parallel
_ pairs of sides that
_ sides that are of
_ sides that are of
are of equal length
equal length
equal length
_ right angles
_ right angles
Math Talk
Mathematical Processes
Explain why a square
can also be named
a rectangle or a
rhombus.
482
© Houghton Mifflin Harcourt Publishing Company
__ pairs of sides that are of equal length
Name
Share
Share and
and Show
Show
Look at the quadrilateral at the right.
1.
b
How many right angles are in the quadrilateral?
__ right angles
2.
Which sides appear to be parallel? ____
3.
Name the quadrilateral. ____
a
c
d
Circle all the words that describe the quadrilateral.
4.
5.
rectangle
rhombus
rhombus
parallelogram
square
square
parallelogram
rectangle
Problem
Problem Solving
Solving
Analyze Write all or some to complete the
sentence for 6–9.
6.
8.
The opposite sides of _
rectangles are parallel.
7.
_ rhombuses are squares.
9.
_ sides of a rhombus are the
same length.
_ trapezoids have 1 pair of
© Houghton Mifflin Harcourt Publishing Company
opposite sides that are parallel.
10.
Communicate I am a quadrilateral that has no right angles
and 4 sides that are of equal length. What figure am I?
11.
Multi-Step I am a polygon that has 4 sides
and 4 angles. All of my angles are right angles. Circle all the
figures that I could be.
quadrilateral
trapezoid
rectangle
square
rhombus
parallelogram
Module 15 • Lesson 1
483
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble for the correct answer choice.
13.
14.
While playing football after school, Jesse notices
that the distance marker contains a quadrilateral
with one pair of opposite sides that are parallel.
What type of quadrilateral is it?
A
rectangle
B
trapezoid
C
square
D
rhombus
Dean makes a pattern using 10 square tiles. How many
pairs of opposite sides are parallel in the 10 square tiles?
A
20
C
40
B
10
D
0
Multi-Step Carina is using scraps of fabric
to make a quilt. How many of the fabric
scraps are in the shape of rhombuses?
A
1
C
0
B
2
D
3
TEXAS Test Prep
15.
484
What is a true statement about the quadrilateral
at the right?
A
There is 1 right angle.
B
There are 4 right angles.
C
There are no right angles.
D
There are 2 right angles.
© Houghton Mifflin Harcourt Publishing Company • Image Credits: ©Photodisc/Getty Images
12.
Geometry and Measurement—3.6.A,
3.6.B
MATHEMATICAL PROCESSES 3.1.D, 3.1.F
H o mewo rk
and Practice
15.1
Name
Classify Quadrilaterals
Circle all the words that describe the quadrilateral.
1.
parallelogram
2.
parallelogram
trapezoid
trapezoid
rhombus
rhombus
rectangle
rectangle
Problem
Problem Solving
Solving
Write all or some to complete the sentence for 3–6.
3.
__ rectangles are squares.
4.
__ angles of a rectangle
are right angles.
5.
__ parallelograms have
all 4 sides that are equal in length.
© Houghton Mifflin Harcourt Publishing Company
7.
8.
6.
__ trapezoids have
2 sides that are equal in length.
I am a polygon that has 2 pairs of opposite sides that are
parallel. Circle all of the figures that I could be.
parallelogram
square
trapezoid
quadrilateral
rhombus
rectangle
I am a quadrilateral that has 4 right angles. My opposite
sides are parallel and of equal length. What figure am I?
Module 15 • Lesson 1 485
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
11.
12.
486
Lily makes an art poster that has
exactly one pair of opposite sides
that are parallel and 2 sides that are
the same length. What figure is Lily’s
poster?
A
trapezoid
B
rectangle
C
rhombus
D
parallelogram
10.
Desmond draws a polygon that has
4 sides that are the same length and
no right angles. How can Desmond
classify the polygon he drew?
A
square
B
rhombus
C
rectangle
D
parallelogram
Kara makes the kite shown at the
right from 4 triangles. What is the
shape of Kara’s kite?
A
square
B
parallelogram
C
rhombus
D
quadrilateral
Multi-Step Ben is making cutouts
to use in an art design. How many
of the cutouts have the shape of
a rectangle?
A
5
B
2
C
4
D
3
© Houghton Mifflin Harcourt Publishing Company
9.