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Transcript
10
Chapter
School-Home
Letter
congruent Two figures that have the
same size and shape.
trapezoid A quadrilateral with only
1 pair of parallel sides.
Dear Family,
Throughout the next few weeks, our math class will be
studying 2-dimensional and 3-dimensional figures.
The students will use definitions to identify and
describe characteristics of these figures.
polyhedron A three-dimensional
solid figure with flat faces that are
polygons.
lateral faces Polygon faces on a
polyhedron that connect the bases.
You can expect to see homework that includes
identifying types of triangles and quadrilaterals.
Here is a sample of how your child will be taught to
classify a triangle by its sides.
Classify a Triangle by its Sides
A triangle has side lengths 3 in., 2 in., and 3 in. What type of triangle is it?
STEP 1
STEP 2
Identify how many sides
are equal.
Determine the correct
classification.
two
There are __ sides
with equal lengths of
A triangle with two
equal sides is
3 in.
isosceles
____.
__.
Tips
Congruent Figures
*`e%
)`e%
*`e%
Congruent figures are
figures that are the same.
Corresponding sides and
angles are equivalent.
To make sure two figures
are congruent, make a list of
all the matching sides and
angles and then verify that the
measures for each pair are
equal.
© Houghton Mifflin Harcourt
Activity
Try to have students commit most of the classifications of triangles,
quadrilaterals, and polyhedrons to memory. You can make a series of
flash cards with the classifications on one side of the card and definitions
and/or sketches of examples on the other side of the card.
Chapter 10
P239
10
Capítulo
Carta
congruentes Dos figuras que tienen el
mismo tamaño y la misma forma.
para la casa
trapecio Un cuadrilátero con solo 1
par de lados paralelos.
Querida familia,
Durante las próximas semanas, en la clase de
matemáticas estudiaremos las figuras bidimensionales y
tridimensionales. Usaremos las definiciones para identificar
y describir las características de esas figuras.
poliedro Un cuerpo geométrico
tridimensional con caras planas que son
polígonos.
caras laterales Las caras poligonales de
un poliedro que conectan las bases.
Llevaré a la casa tareas con actividades para identificar
diferentes tipos de triángulos y cuadriláteros.
Este es un ejemplo de la manera como aprenderemos a
clasificar un triángulo por sus lados.
Clasificar un triángulo por sus lados
Pistas
Los lados de un triángulo miden 3 pulg., 2 pulg. y 3 pulg. ¿Qué
tipo de triángulo es?
PASO 1
PASO 2
Identifica cuántos lados son
iguales.
Determina la clasificación
correcta.
dos
Hay __ lados que
tienen la misma longitud
3 pulg.
de ____.
Figuras congruentes
*glc^%
)glc^%
Un triángulo con dos
lados iguales es
*glc^%
isósceles
____.
Las figuras congruentes son
figuras que son iguales. Los lados
y los ángulos correspondientes
son equivalentes.
Para estar seguro de que dos
figuras son congruentes, haz
una lista de todos los lados y
ángulos que corresponden uno
con el otro y luego verifica que
las medidas de cada par sean
iguales.
Anime a los estudiantes a memorizar las clasificaciones de los triángulos,
los cuadriláteros y los poliedros. Puede hacer tarjetas nemotécnicas con las
clasificaciones en un lado y las definiciones y/o ejemplos visuales en el otro
lado de cada tarjeta.
P240
© Houghton Mifflin Harcourt
Actividad
Lesson 1
Name
MA.5.G.5.3 Solve problems requiring
attention to approximation, selection of
appropriate measuring tools, and precision of
measurement.
Estimate and Measure Angles
Estimate the measure of each angle. Then use a protractor
to find the measure.
1. / ASN
2. / NSG
30º
Estimate: __
25º
Measure: __
Estimate: __
>
Measure: __
3. / GSE
E
C
4. / LSE
8
Estimate: __
Estimate: __
Measure: __
Measure: __
J
<
Find the measure of /A in each figure.
5. I
K
8
J
6.
8
P
7.
8
:
Q
;
____
© Houghton Mifflin Harcourt
8. Brad used a
____
60° angle iron to reinforce the
edge of a fence. Make a sketch of the angle
iron using your protractor.
9
____
9. Two sides of Meredith’s property meet at a
110° angle. Make a sketch of their intersection
using your protractor.
Chapter 10
P241
Lesson Check
(MA.5.G.5.3)
1. What is the measure of / T ?
A 25º
C 115º
B 65º
D 155º
V
2. What is the measure of / U ?
F 25º
H
G 40º
I 155º
Review Grade 5
75º
T
U
(MA.5.G.5.3)
3. If you use a ruler to make line segment TU
in the drawing above longer and name the
point that is left of T, W, what is the measure
of / VUW in your new drawing?
4. What is the measure of / V in the drawing
above?
A 140º
F
15º
B 130º
G
75º
C
50º
H 105º
D
40º
I 165º
(MA.4.G.5.1)
5. What is the best estimate for the measure of
the angle below?
6. What is the best estimate for the measure of
the angle below?
A
45º
F
45º
B
90º
G
90º
C 120º
H 120º
D 180º
I 180º
P242
© Houghton Mifflin Harcourt
Look Back
Lesson 2
Name
MA.5.G.3.1 Analyze and compare the
properties of two-dimensional figures and
three-dimensional solids (polyhedra) including
the number of edges, faces, vertices, and types
of faces.
Compare Two-Dimensional Figures
Write whether the two figures are congruent or not congruent.
1.
2.
*
0'
0'
(++
,
*-
('
*
0'
0'
(++
,
*-
('
All corresponding sides and angles are equal.
congruent
______
So, the figures are ___ .
3.
4.
______
5.
______
6.
(',
.,
.,
(''
(',
/'
© Houghton Mifflin Harcourt
/'
(''
______
______
7. Triangles ABC and XYZ are congruent. / A is
8. Rectangles A and B are congruent. The base
one half the size of / B. / Y is 90°. / C and
/ Z are both 45°. What is the measure of / A?
of Rectangle A is 5 inches more than its
height. The height of Rectangle B is 12 inches.
What is the base of Rectangle A?
______
______
Chapter 10
P243
Lesson Check
(MA.5.G.3.1)
1. Which of the following is congruent to the
2. Which of the following is not congruent to the
square below?
triangle below?
*]k
*]k
C
A
3 ft
3 ft
F
H
G
I
3 ft
3 ft
3 ft
D
B
3 ft
3 ft
3 ft
3 ft
Review Grade 5
(MA.5.G.5.2)
3. How many fluid ounces are in
4 cups of milk?
2 hour and 28 minute movie starts at
7:50 P.M. At what time will the movie end?
4. A
A 20 fluid ounces
F
9:18 P.M.
B 32 fluid ounces
G
9:78 P.M.
C 40 fluid ounces
H 10:08 P.M.
D 64 fluid ounces
I 10:18 P.M.
(MA.4.G.5.1)
5. Which of the following angle measures is an
acute angle?
6. Which of the following angle measures is an
obtuse angle?
A
33º
F
47º
B
90º
G
60º
C 100º
H
90º
D 107º
I 123º
P244
© Houghton Mifflin Harcourt
Look Back
PROBLEM SOLVING
Name
Act It Out Congruence
•
Lesson 3
MA.5.G.3.1 Analyze and compare the
properties of two-dimensional figures and three
dimensional solids (polyhedra), including the
number of edges, faces, vertices, and types of
faces.
Solve each problem.
1. Marcel has a quadrilateral that he thinks has
two pairs of opposite congruent sides and four
congruent angles, but he does not have any tools
to verify. How can he check if the sides and angles
are congruent?
He can fold the
______
quadrilateral in half both
______
ways. If both sets of sides
______
and all angles line up,
______
then they are congruent.
______
2. If the sides and angles do match up, what type of
quadrilateral does Marcel have?
3. Richelle has a pentagon that she thinks has
two pairs of congruent angles and two pairs of
congruent sides. How can she check this without
using any tools?
______
______
______
______
______
4. Make your own sketch of what Richelle’s pentagon
might look like.
5. Jerome has a triangle that he thinks has no equal
© Houghton Mifflin Harcourt
sides nor angles with the same measure. Without
using a tool, how can he check?
______
______
______
6. If the sides and angles are not equal, what type of
triangle does Jerome have?
______
Chapter 10
P245
Lesson Check
(MA.5.G.3.1)
1. A triangle has two equal sides and a third
side that is five inches more than the length
of the other two sides. If the perimeter of the
triangle is 32 inches, what is the length of the
longest side?
2. Triangle ABC is congruent to triangle DEF.
AB is 3 cm, BC is 4 cm long, and CA is 5 cm
long. Which of the following statements is not
true?
A
5 inches
F FD is 12 cm long.
B
9 inches
G EF is 4 cm long.
C 14 inches
H FD is 5 cm long.
D 16 inches
I DE is 3 cm long.
Review Grade 5
(MA.5.G.5.2)
3. How many ounces are in
50 pounds?
4. How many minutes are there in
A 800 ounces
F 4,000 minutes
B 500 ounces
G 2,400 minutes
C 400 ounces
H
960 minutes
D 200 ounces
I
240 minutes
(MA.4.G.5.1)
5. Which of the following angle measures is
NOT an acute angle?
6. Which of the following angle measures is a
right angle?
A 33º
F
45º
B 78º
G
60º
C 81º
H
90º
D 92º
I 100º
P246
© Houghton Mifflin Harcourt
Look Back
40 hours?
Lesson 4
Name
MA.5.G.3.1 Analyze and compare the
properties of two-dimensional figures and
three-dimensional solids (polyhedra), including
the number of edges, faces, vertices, and types
of faces.
Polygons
Name each polygon. Then tell if it is regular or not regular.
Make measurements if you need to.
1.
2.
4 sides, 4 vertices, 4 angles means it is a
quadrilateral
___. The sides are
regular
not all equal, so it is not
___.
3.
______
4.
______
5.
6.
______
7. Sketch nine points. Then, connect the points
© Houghton Mifflin Harcourt
______
______
8. Sketch seven points. Then, connect the points
to draw a closed plane figure. What kind of
polygon did you draw?
to draw a closed plane figure. What kind of
polygon did you draw?
______
______
Chapter 10
P247
Lesson Check
(MA.5.G.3.1)
1. Which of the following is a regular pentagon?
2. Which of the following is NOT a regular
polygon?
A
C
F
H
B
D
G
I
Review Grade 5
(MA.5.G.5.2)
3. How much time elapses from
2:00 P.M.?
6:30 A.M. to
4. How many centimeters are there in one
kilometer?
A 5 hours 30 minutes
F 100,000 centimeters
B 6 hours
G
10,000 centimeters
C 7 hours 30 minutes
H
1,000 centimeters
D 8 hours
I
100 centimeters
(MA.4.G.6.2, MA.3.G.3.1)
5. Jenna is organizing her barrettes into boxes.
6. What polygon has
She puts the same number of barrettes in
each box. If there are 6 boxes and she has
30 barrettes, how many are in each box?
G octagon
A 35
H nonagon
B 25
I decagon
C
6
D
5
P248
10 sides?
F heptagon
© Houghton Mifflin Harcourt
Look Back
Lesson 5
Name
MA.5.G.3.1 Analyze and compare the
properties of two-dimensional figures and
three-dimensional solids (polyhedra), including
the number of edges, faces, vertices, and types
of faces.
Triangles
Classify each triangle. Write isosceles, scalene, or equilateral. Then
write right, acute, or obtuse.
1.
2.
/dd
-dd
),`e%
),`e%
('dd
+)`e%
None of the side measures are equal. So, it is
scalene
__ . There is a right
right
___
angle, so it is a __ triangle.
3.
4.
,'Zd
___
),`e%
.`e%
(,Zd
)+`e%
,'Zd
___
___
___
___
Measure and label the length of the sides in millimeters and the angles. Then,
classify each triangle by the length of its sides and by the measure of its angles.
5.
6.
© Houghton Mifflin Harcourt
___
___
7. Mary says the pen for her horse is an acute
___
___
8. Karen says every equilateral triangle is acute.
right triangle. Is this possible? Explain.
Is this true? Explain.
______
______
Chapter 10
P249
Lesson Check
(MA.5.G.3.1)
1. Which of the following triangles is impossible
2. What is the classification of the following
triangle?
to draw?
A right obtuse triangle
B right scalene triangle
C acute isosceles triangle
D obtuse scalene triangle
Review Grade 5
F scalene
H isosceles
G right
I acute
(MA.5.G.5.3)
3. How many tons are in
40,000 pounds?
4. Which measurement is more precise?
A
2 tons
F
0.3 meter
B
4 tons
G
3 decimeters
C 20 tons
H
32 centimeters
D 40 tons
I 324 millimeters
Look Back
(MA.3.G.3.1)
5. How many sides does a hexagon have?
6. If a polygon has
8 sides, how many angles
A 3
F
2
B 4
G
4
C 5
H
8
D 6
I 16
P250
© Houghton Mifflin Harcourt
does it have?
Lesson 6
Name
MA.5.G.3.1 Analyze and compare the
properties of two-dimensional figures and
three-dimensional solids (polyhedra), including
the number of edges, faces, vertices, and types
of faces.
Quadrilaterals
Classify each quadrilateral in as many ways as possible.
Write quadrilateral, parallelogram, rectangle, rhombus, square, or trapezoid.
1.
2.
__ .
It has 4 sides, so it is a quadrilateral
None of the sides are parallel, so there is
no
other classification. .
____
3.
______
4.
______
5.
6.
______
7. Kevin claims he can draw a trapezoid with
© Houghton Mifflin Harcourt
______
______
8. “A square is a regular quadrilateral.” Explain
three right angles. Is this possible? Explain.
whether this is true or false.
______
______
______
______
______
______
______
______
______
______
Chapter 10
P251
Lesson Check
(MA.5.G.3.1)
1. A parallelogram has two pairs of parallel
sides. Which classification can it NOT be?
2. Which of the following is NOT always true
about a rhombus?
A quadrilateral
F All sides are equal.
B rectangle
G All angles are equal.
C square
H There are 2 pairs of parallel sides.
D trapezoid
I There are 2 pairs of congruent angles.
Review Grade 5
(MA.5.G.5.3)
3. How many kilograms are equal to
4. Which measurement is more precise?
5,000 grams?
A 500 kilograms
B
50 kilograms
C
5 kilograms
D
0.5 kilogram
6
1
G 3__ inches
4
__ feet
H 31
2
I 4 feet
(MA.4.A.6.4)
5. What is the greatest common factor
of 20 and 35?
6. How many factors do
in common?
A 3
F 1
B 4
G 2
C 5
H 3
D 6
I 4
P252
54 and 56 have
© Houghton Mifflin Harcourt
Look Back
__ inches
F 31
Lesson 7
Name
MA.5.G.3.1 Analyze and compare the
properties of two-dimensional figures and
three-dimensional solids (polyhedra), including
the number of edges, faces, vertices, and types
of faces.
Three-Dimensional Solids
Classify each solid. Write prism, pyramid, cone, cylinder, or sphere.
1.
2.
3.
There are no edges,
vertices, or flat faces. It is a
sphere
____.
____
____
Name the solid.
4.
5.
____
7.
6.
____
8.
____
9.
____
10. Darrien is making a solid out of folded paper.
© Houghton Mifflin Harcourt
____
____
11. Nanako said she drew a square pyramid
His solid has six congruent faces that are all
squares. What type of solid did he make?
and that all of the faces are triangles. Is this
possible? Explain.
______
______
Chapter 10
P253
Lesson Check
(MA.5.G.3.1)
1. Which of the following has exactly four faces?
2. Which of the following does NOT have any
rectangular faces?
A cone
F pentagonal prism
B square
G hexagonal pyramid
C triangular prism
H rectangular prism
D triangular pyramid
I square pyramid
Review Grade 5
(MA.5.G.5.3)
3. How many seconds are in
15 minutes?
4. Which unit is more precise?
A 1,500
F gallons
B 1,200
G quarts
C
900
H pints
D
150
I cups
(MA.5.G.3.1)
5. How many sides does a heptagon have?
6. How many sides does a pentagon have?
A 5
F 3
B 6
G 5
C 7
H 7
D 8
I 9
P254
© Houghton Mifflin Harcourt
Look Back
Lesson 8
Name
MA.5.G.3.1 Analyze and compare the
properties of two-dimensional figures and
three-dimensional solids (polyhedra), including
the number of edges, faces, vertices, and types
of faces.
Faces, Edges, and Vertices
Name the solid. Then identify the number of faces, edges, and vertices it has.
1.
2.
3.
There are two triangular
bases; it is a
triangular
prism
____
5 Edges: _
9
Faces: _
6
Vertices: _
© Houghton Mifflin Harcourt
4.
____
____
Faces: _ Edges: _
Faces: _ Edges: _
Vertices: _
Vertices: _
5.
6.
___
___
___
Faces: _ Edges: _
Faces: _ Edges: _
Faces: _ Edges: _
Vertices: _
Vertices: _
Vertices: _
7. Name a solid that has no edges or vertices.
8. Consider a pentagonal prism. Identify the
number of faces, edges, and vertices.
_______
_______
Chapter 10
P255
Lesson Check
(MA.5.G.3.1)
1. Which of the following solids has exactly
2. Which of the following does NOT have any
edges?
six faces?
A cube
F cube
B sphere
G sphere
C triangular prism
H rectangular prism
D triangular pyramid
I square pyramid
Review Grade 5
(MA.5.G.5.3)
3. Which of the following measures is greater
4. Which unit is more precise?
than 3 meters?
A
0.0037 kilometer
F centigrams
B
28 decimeters
G milligrams
C
250 centimeters
H decigrams
D
2900 millimeters
Look Back
I grams
(MA.4.A.1.2)
5. What is the product of
38 and 4,000?
6. What is the best estimate for the product
of 49 and 23?
F 1,000
B
152,000
G
800
C
15,200
H
100
D
1,520
I
80
© Houghton Mifflin Harcourt
A 1,520,000
P256
PROBLEM SOLVING
Name
Search for Patterns
• Faces,
Edges, and Vertices
Lesson 9
MA.5.G.3.1 Analyze and compare the
properties of two-dimensional figures and
three-dimensional solids (polyhedra), including
the number of edges, faces, vertices, and types
of faces.
Solve each problem using the picture below.
Row 1
Row 2
1. How many hexagonal tiles will be in the 9th row?
The number of
hexagonal tiles in the
row equals the row
number. The 9th row
will have:
9
hexagonal tiles
____.
2. How many triangular tiles will be in the 9th row?
____
$0.50. Hexagonal tiles cost
$1.00. How much will it cost to make the 9th row
3. Triangular tiles cost
of tiles?
____
4. How much will it cost to make the first
9 rows
of tiles?
____
5. How many balls of clay and straws are needed
© Houghton Mifflin Harcourt
to make a hexagonal pyramid?
____
6. What is the least number of balls of clay
and straws needed to make a cube?
____
Chapter 10
P257
Lesson Check
1. Denisha used
(MA.5.G.3.1)
9 balls of clay and 16 straws to
make a solid pyramid. How many faces does
the solid have?
A 6
B 7
2. Two hexagons can be drawn so that they
share one side. A third hexagon can be
drawn to share one side with only one
of the existing hexagons. If this pattern
continues, how many sides will be drawn
for 10 hexagons?
C 8
F 16
D 9
G 50
H 51
I 60
Review Grade 5
(MA.5.G.5.2)
3. How many decimeters are in
300 meters?
4. How many quarts are in
A 30,000 decimeters
F
30 quarts
B
3,000 decimeters
G
60 quarts
C
30 decimeters
H 120 quarts
D
3 decimeters
I 150 quarts
(MA.4.A.1.2)
5. What is the product of
24 and 19?
6. Which is the best estimate for the product
of 1,961 and 41?
A 210
F 80,000
B 240
G
8,000
C 426
H
500
D 456
I
50
P258
© Houghton Mifflin Harcourt
Look Back
15 gallons?
Lesson 10
Name
MA.5.G.3.1 Analyze and compare the
properties of two-dimensional figures and
three-dimensional solids (polyhedra), including
the number of edges, faces, vertices, and types
of faces.
Model Three-Dimensional Solids
Draw a net for the given solid.
1. Hexagonal pyramid
2. Cylinder
3. Triangular pyramid
5.
6.
.
Identify the solid from its net.
4.
© Houghton Mifflin Harcourt
____
____
7. Draw the net of a cube that has a side length
of 15 mm.
____
8. Draw the net of a rectangular prism that has
a length of 25 mm, a width of 12 mm, and a
height of 20 mm.
Chapter 10
P259
Lesson Check
(MA.5.G.3.1)
1. The net of what solid is made of six
2. Which of the following solids has
5 faces?
congruent squares?
A square pyramid
F triangular pyramid
B triangular pyramid
G rectangular prism
C sphere
H cylinder
D cube
I rectangular pyramid
Review Grade 5
(MA.5.G.5.2)
3. How many days are in
208 weeks?
4. How many fluid ounces are in
A 1,460
F 16 fluid ounces
B 1,245
G 32 fluid ounces
C
400
H 48 fluid ounces
D
120
I 96 fluid ounces
(MA.4.A.1.2)
5. What is the product of
A 210
B 240
C 426
D 434
P260
31 and 14?
6. Which is the best estimate for the product of
1,162 and 78?
F 80,000
G
8,000
H
500
I
50
© Houghton Mifflin Harcourt
Look Back
3 quarts?
Lesson 11
Name
MA.5.G.3.1 Analyze and compare the
properties of two-dimensional figures and
three-dimensional solids (polyhedra), including
the number of edges, faces, vertices, and types
of faces.
Views of Three-Dimensional Solids
Name the solid figure that has the given views.
1.
2.
kfg
]ifek
kfg
j`[\
The view from the top shows the
base is a circle. The view from the
side shows the lateral faces are
triangles.
So, the shape is a cone.
____
]ifek
j`[\
_____
_____
Draw the front, top, and side views of each solid figure.
3. Hexagonal pyramid
4. Triangular pyramid
5. Rectangular prism
6. Pentagonal pyramid
7. The builders of a new construction project
8. Draw the front, top, and side view for a
© Houghton Mifflin Harcourt
look at the floor plan before they begin.
Name the solid shown in the floor plan.
kfg
]ifek
possible roof for the building. Then name
the solid.
j`[\
_______
_______
Chapter 10
P261
Lesson Check
(MA.5.G.3.1)
1. Which of the following shows the top view of
the pyramid below?
the prism below?
A
C
B
D
Review Grade 5
2. Which of the following shows the top view of
F
H
G
I
(MA.5.G.5.2)
3. How many decimeters are in
4. How many quarts are in
5,000 meters?
A 500,000 decimeters
F
4 quarts
B
50,000 decimeters
G
12 quarts
C
500 decimeters
H
40 quarts
D
50 decimeters
I 120 quarts
(MA.4.A.1.2)
5. What is the product of
31 and 22?
6. What is the best estimate for the product of
3,153 and 69?
A
53
F 210,000
B
62
G
21,000
C 651
H
2,100
D 682
I
210
P262
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Look Back
10 gallons?
MA.5.G.5.3, MA.5.G.3.1
Name
Chapter 10 Extra Practice
Lesson 10.1 (pp. 437–440)
Find the measure of /X in each figure.
1. N
2.
Q
3.
O
Q
P
O
P
O
N
Q
P
Use a protractor to draw each angle.
4. 60°
5. 170°
Lesson 10.2 (pp. 441–444)
Write whether the two figures are congruent or not congruent.
1.
8
/Zd
9
-'
;
/Zd
/Zd
-' -'
/Zd
:
/Zd
-' -'
-'
<
2.
/Zd
=
Lesson 10.3 (pp. 445–448)
Solve.
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1. Will has the hexagon at the right. He wants to
show that all sides are congruent and all angles
are congruent, but he doesn’t have a ruler or
protractor. How can he show this?
Chapter 10
P263
Lesson 10.4 (pp. 449–452)
Name each polygon. Then tell if it is a regular polygon or not a regular
polygon. Measure to check your answer.
1.
2.
Lesson 10.5 (pp. 453–456)
Classify each triangle. Write isosceles, scalene, or equilateral. Then
write right, acute, or obtuse.
1.
2.
,p[
,p[
,p[
3.
+Zd
,Zd
()d
()d
*Zd
+d
Lesson 10.6 (pp. 457–460)
Classify each quadrilateral in as many ways as possible. Write
quadrilateral, parallelogram, rectangle, rhombus, square, or trapezoid.
2.
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1.
P264
MA.5.G.5.3, MA.5.G.3.1
Name
Chapter 10 Extra Practice
Lesson 10.7 (pp. 463–466)
Name the solid figure.
1.
2.
3.
Lesson 10.8 (pp. 467–470)
Name the solid figure. Then identify the number of faces, vertices,
and edges it has.
1.
2.
3.
Faces: _ Edges: _
Faces: _ Edges: _
Faces: _ Edges: _
Vertices: _
Vertices: _
Vertices: _
Lesson 10.9 (pp. 471–474)
Solve.
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1. Sonia counts the faces on a cube. Then, she
connects a cube and counts the faces that she
can see on the two cubes. How many faces
will be visible if she ends up with a row of
5 cubes?
Chapter 10
P265
Lesson 10.10 (pp. 475–478)
Identify the solid figure from its net.
1.
2.
3.
4.
Lesson 10.11 (pp. 479–482)
Name the solid figure that has the given views.
1.
2.
]ifek
kfg
]ifek
j`[\
kfg
j`[\
Each solid is made with six cubes. Draw a top view, a front view, and
a side view for each solid figure.
3.
4.
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5.
P266