Download Unit 03 PC Form E

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Class:
Date:
Unit 03 PC Form E
1.
(3.3, 3.4) Use pencil and paper to answer the question.
Measure the angle below with a protractor. Then choose a word from the list to name the angle:
acute, obtuse, adjacent, right.
m
____________________ angle
ANSWER:
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Unit 03 PC Form E
2.
(3.3, 3.4) Use pencil and paper to answer the question.
Measure the angle below with a protractor. Then choose a word from the list to name the angle:
acute, obtuse, adjacent, right.
m
m
m
____________ angle
____________ angle
____________ angle
ANSWER:
a.
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m
right angle
b.
m
obtuse angle
c.
m
acute angle
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Class:
Date:
Unit 03 PC Form E
3.
(3.3, 3.4) Use pencil and paper to answer the question.
Use your protractor. Measure each angle below. Record your answer to the nearest degree.
a.
m ABC
b. m JKL
c.
ABC is an ____________
(acute or obtuse) angle
d.
JKL is an ____________
(acute of obtuse) angle
ANSWER:
a. m ABC
c. obtuse angle
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b. m JKL
d. acute angle
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Unit 03 PC Form E
4.
(3.4) Use pencil and paper to answer the question.
a. What is a reflex angle?
__________________________________________________________
__________________________________________________________
b. Draw and label a reflex angle.
ANSWER:
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a.
b. Sample answer:
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Unit 03 PC Form E
5.
(3.2) Use pencil and paper to answer the question.
Write the number that has
3 in the ones place,
4 in the hundreds place,
a digit in the hundred-thousands place that is twice the digit in the ones place,
the largest odd digit in the millions place,
7 in the tenths place,
and 0 in the remaining places.
____ , ____ ____ ____ , ____ ____ ____ . ____
ANSWER:
6.
(3.6) Use pencil and paper to answer the question.
Use your Geometry Template to do the following:
Draw a scalene triangle.
ANSWER:
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Sample answer:
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Unit 03 PC Form E
7.
(3.6, 3.7) Use pencil and paper to answer the question.
Use your Geometry Template to do the following:
a.
Draw an equilateral triangle. b. Draw an isosceles triangle
that is not equilateral.
c. Draw a scalene triangle.
d. List at least one way in which an equilateral triangle and a scalene triangle are the same.
_____________________________________________________________
_____________________________________________________________
e. List at least one way in which an equilateral triangle and a scalene triangle are different.
_____________________________________________________________
_____________________________________________________________
_____________________________________________________________
_____________________________________________________________
ANSWER:
Answers vary.
Sample answer:
a.
b.
c.
d. The sum of the angles is
for both triangles.
e. An equilateral triangle has all sides with the same length, while a scalene triangle has
no sides the same length.
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Date:
Unit 03 PC Form E
8.
(3.6, 3.7) Use pencil and paper to answer the question.
a. List at least one way in which an equilateral triangle and a scalene triangle are the same.
_____________________________________________________________
_____________________________________________________________
b. List at least one way in which an equilateral triangle and a scalene triangle are different.
_____________________________________________________________
_____________________________________________________________
ANSWER:
Answers vary.
Sample answers:
a.
b.
The sum of the angles is
for both triangles.
An equilateral triangle has all sides with the same length, while a scalene
triangle has no sides the same length.
9. (3.7, 3.8) Identify all of the true statements about the polygon below.
a. At least one angle is acute.
b. This is a regular polygon.
c. At least two sides are parallel.
d. At least two angles are congruent.
e. This polygon is a quadrangle.
ANSWER: a, c, e
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Unit 03 PC Form E
10. (3.7, 3.8) Identify all of the true statements about the polygon below.
a. This is a regular polygon.
b. This polygon is a quadrangle.
c. At least two sides are the same length.
d. At least two sides are parallel.
e. At least two angles are congruent.
ANSWER: a, c, e
11. (3.3) Find the missing angle measure without using your protractor.
is a straight line.
m
ANSWER: 85 The measure of
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Unit 03 PC Form E
12. (3.3) Find the missing angle measure without using your protractor.
m
ANSWER: 40 The measure of
13.
(3.7, 3.9) Use pencil and paper to answer the question.
Find the missing angle measure without using your protractor.
Each angle of the regular hexagons at point H has a measure of ________.
ANSWER:
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Unit 03 PC Form E
14.
(3.3, 3.4) Use pencil and paper to answer the question.
Name two adjacent angles from the figure below.
________ and
ANSWER:
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________
SAMPLE ANSWERS:
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Unit 03 PC Form E
15.
(3.5, 3.6) Use pencil and paper to answer the question.
a. Use a straightedge to draw a pair of adjacent angles below. Make one of the angles obtuse and
the other angle acute. Use letters to name the angles.
b. Tell which angle is obtuse.
________
c. Without using your protractor, estimate the measure of the each angle to the nearest
.
m
ANSWER:
Sample answer:
a.
b.
c.
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m PMN
m NMQ
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Class:
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Unit 03 PC Form E
16.
(3.1, 3.2) Use pencil and paper to answer the question.
Use the table below to answer the following questions:
Regional Populations 1850-2000
Region
1850
1900
1950
Northeast region 8,627,000 21,047,000 39,478,000
South region
8,983,000 24,524,000 47,197,000
Midwest region 5,404,000 26,333,000 44,461,000
West region
179,000
4,309,000 20,190,000
a.
b.
c.
2000
52,107,000
97,614,000
63,502,000
61,412,000
Which region had the largest population
in 1900?
________________________
Which region had the largest population
100 years later?
________________________
Which region had the largest increase
in population from 1850 to 2000?
________________________
What was the increase?
________________________
ANSWER:
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a.
b.
c.
Midwest region
South region
South region
88,631,000
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Date:
Unit 03 PC Form E
17.
(3.8, 3.10) Use pencil and paper to answer the question.
Use the pattern-block shapes on your Geometry Template to make a pattern that tessellates below.
(The pattern-block shapes are marked PB.)
Explain why your pattern is a tessellation.
_____________________________________________________________
_____________________________________________________________
ANSWER:
Sample answer:
A pattern is a tessellation if there are no gaps or overlaps in the shapes that make up the
pattern.
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Class:
Date:
Unit 03 PC Form E
18.
(3.3, 3.4) Use pencil and paper to answer the question.
Adding Angles
Fukimo and Seiichi played 5 rounds of Angle Tangle. Fukimo drew the following types of angles
for Seiichi.
1 reflex angle, 1 right angle, 2 acute angles, and 1 obtuse angle.
Both Fukimo and Seiichi were very good at estimating the measures of angles. Their total scores
for the game were so close that the boys decided on another way to choose the winner.
They decided to add the measures of their 5 angles, and the one who had the greatest sum would
win.
.
What could the measures of his angles be? Show or explain how you found your answers.
Reflex angle:
________
Right angle:
________
Acute angle 1:
________
Acute angle 2:
________
Obtuse angle:
________
ANSWER:
Sample answer:
Reflex angle = 250 (measures more than
and less than
Right angle: 90 (always measures
)
Acute angle 1: 30 (measures less than
)
Acute angle 2: 60 (measures less than
)
Obtuse angle: 110 (measures more than
and less than
)
)
Sample explanation:
I started by putting
for the right angle since this never changes. I chose measures for
the acute angles next (30 and 60 ), which left me to find the 2 largest angles. I chose
for the obtuse angle. There is a large range of values for the reflex angle, so I was
pretty sure that the measure would work in order for the sum to come out to
. All I
had to do was subtract the sum of the other 4 angles (
) from
to get my reflex
angle of
.
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