Download Geometry: Angle Measure

Geometry: Angle Measure
Long-Term Memory Review
Review 1
1.
Complementary angles are two angles whose measures add up to _______ degrees.
2.
Supplementary angles are two angles whose measures add up to _______ degrees.
3.
The sum of the interior measures of any triangle is _________ degrees.
4.
Draw a figure below that shows two complementary angles.
5.
Draw a figure below that shows two supplementary angles.
6.
Use the triangle below: What is the measure of the following angles?
110
w
x
y
30
z
m w
7.
_________
m x
__________
m y
_________ m z
__________
Determine the number of degrees of each section of the pie chart.
a. Food_______
Misc.
17%
b. Clothing______
Food
25%
c. Rent_________
Food
Clothing
Clothing
8%
Rent
Misc.
Rent
50%
Produced by the Southern Nevada Regional Professional Development Program (SNRPDP) June 09
d. Miscellaneous_________
Geometry: Angle Measure
Long-Term Memory Review
Review 2
1.
Complementary angles are two angles whose measures add up to _______ degrees.
2.
Supplementary angles are two angles whose measures add up to _______ degrees.
3.
The sum of the interior measures of any triangle is ________ degrees.
4.
Draw a figure below that shows two complementary angles.
5.
Draw a figure below that shows two supplementary angles.
6.
In the figure below, BD  EG and m CFE
 
65o . What is the measurement of:
m CFE
________
m CFG
________
m EFH
________
m GFH
________
m ACB ________
m ACD
_______
m FCD
________
m FCB ________
E
B
A
C
F
H
D
G
7.
Use the figure above: Identify two angles that are supplementary.
8.
Explain the meaning of parallel and provide the symbol used to show lines or planes are parallel.
Produced by the Southern Nevada Regional Professional Development Program (SNRPDP) June 09
Geometry: Angle Measure
Long-Term Memory Review
Review 3
1.
Complementary angles are two angles whose measures add up to _______ degrees.
2.
Supplementary angles are two angles whose measures add up to _______ degrees.
3.
The sum of the interior measures of any triangle is _______ degrees.
4.
Draw a figure below that shows two complementary angles.
5.
Draw a figure below that shows two supplementary angles.
6.
In the figure at the right, BD  EG .
Complete the following below:
 
E
B
A
F
C
H
G
D
GFH
ACD
7.
_________
CFG
ACB
_________ ‘ OR
_________ _________
If p is parallel to q in the figure, what is the sum of angles 1 and 2?
p
130
1
2
q
8.
The measure of an angle is represented by x. The measures of the complement of this angle can be
represented as:
A. (90 x ) o
B. ( x 90) o
C. (180 x) o
Produced by the Southern Nevada Regional Professional Development Program (SNRPDP) June 09
D. ( x 180) o
Geometry: Angle Measure
Long-Term Memory Review
Review 4
1.
Complementary angles are two angles whose measures add up to _______ degrees.
2.
Supplementary angles are two angles whose measures add up to _______ degrees.
3.
The sum of the interior measures of any triangle is _______ degrees.
4.
Draw a figure below that shows two complementary angles.
5.
Draw a figure below that shows two supplementary angles.
6.
Use the triangle below: What is the value x?
A.
B.
C.
D.
7.
110
130 o
110 o
50o
40o
x
Mr. Clark received his $720 tax refund from the government. He used $324 for food, $216 for
clothing, $36 for miscellaneous items, and the rest on entertainment. Complete the table below and
then draw and label an appropriate circle graph that would accompany this table.
Categories of
Purchase
Food
Clothing
Entertainment
Miscellaneous
Total
Amount of
Refund Used
Percent of
Refund
$324
$216
$36
$720
Central
Angle
Measure
162º
20%
5%
100%
18º
360º
8.
Use the table above: Name two categories of purchase that have complementary central angles.
9.
A round pizza is cut evenly into 10 pieces. What is the central angle measure of each piece?
A. 18º
B. 36º
C. 45º
D. 90º
10. The second hand on a clock travels from the 12 to the 9. How many degrees has the second hand
traveled?
A. 90º
B. 135º
C. 180º
D. 270º
Produced by the Southern Nevada Regional Professional Development Program (SNRPDP) June 09
Geometry: Angle Measure
Long-Term Memory Review
Quiz
1.
Complementary angles are two angles whose measures add up to _______ degrees.
2.
Supplementary angles are two angles whose measures add up to _______ degrees.
3.
The sum of the interior measures of any triangle is _______ degrees.
4.
Draw a figure below that shows two complementary angles.
5.
Draw a figure below that shows two supplementary angles.
6.
Use the triangle below: What is the value of x?
A. 130 o
B. 110 o
C. 50o
D. 40o
110
x
30
 
7.
In the figure below, BD  EG and m CFE
m CFE
________
70o . What is the measurement of:
m CFG ________
m EFH
A
m GFH
________
m ACB
________
E
B
________
F
C
H
m ACD _______
G
D
8.
m FCD ________
m FCB
GFH
ACB
_________
_________ ‘or’
ACD
CFG
_________ _________
Mr. Clark received his $720 tax refund from the government. He used $324 for food, $216 for
clothing, $144 for entertainment, and the rest on miscellaneous items. Complete the table below
and then draw and label an appropriate circle graph that would accompany this table.
Items of
Purchase
Food
Clothing
Entertainment
Miscellaneous
Total
9.
________
Amount of
Refund Used
$324
Percent
of
Refund
45%
$144
Central
Angle
Measure
Clothing
72º
5%
Use the table above: Name two items of purchase that have supplementary central angles.
Produced by the Southern Nevada Regional Professional Development Program (SNRPDP) June 09
Geometry: Angle Measure
Long-Term Memory Review
ANSWERS
Review 1 - Answers
1.
90
2.
180
3.
180
4.
For example
5.
For example
50
40
100
6.
7.
w
70 
x
110 
y
70 
z
40 
a. Food: 90
80 
b. Clothing: 29
c. Rent: 180 d. Miscellaneous: 61
Review 2 - Answers
1.
90
2.
180
3.
180
4.
For example
5.
For example
45
45
90 
6.
m CFE
65
90 
m CFG
115
m EFH
115
65
m ACD
115
m GFH
65
m ACB
m FCD
65
m FCB
115
7.
Answers may vary, for example
8.
parallel lines are coplanar lines that never intersect (have no points in common)(equal slopes)
ACB and
BCF
Produced by the Southern Nevada Regional Professional Development Program (SNRPDP) June 09
Geometry: Angle Measure
Long-Term Memory Review
Review 3 - Answers
1.
90
2.
180
3.
180
4.
For example
5.
For example
6.
GFH
35
110
CFE
ACD
55
CFG
ACB
BCF
90 
DCF ‘ OR
EFH
7.
The sum of angles 1 and 2 is 100 
8.
A. (90 x ) o
Review 4 - Answers
1.
90
2.
180
3.
180
4.
For example
70
5.
20
For example
120
6.
60 
B. 110 o
7.
Categories of
Purchase
Amount of
Refund Used
Percent of
Refund
Central
Angle
Measure
Food
$324
45%
162º
Clothing
$216
30%
108º
Entertainment
$144
20%
72º
Miscellaneous
$36
5%
18º
$720
100%
360º
Total
Produced by the Southern Nevada Regional Professional Development Program (SNRPDP) June 09
Geometry: Angle Measure
Long-Term Memory Review
8.
Entertainment and Miscellaneous
9.
B. 36º
10.
D. 270º
Quiz - Answers
1.
90
2.
180
3.
180
4.
For example
5.
For example
70
20
120
6.
D. 40o
7.
m CFE
m GFH
m FCD
GFH
70
110
m CFG
70
70
CFE
60 
m ACB
70
m FCB
110
ACB
m EFH
110
m ACD
110
E
B
A
F
C
H
G
D
FCD ‘or’
ACD
CFG
EFH
FCB
8.
Items of
Purchase
Amount of
Refund Used
Food
Clothing
Entertainment
Miscellaneous
Total
9.
$324
$216
$144
$36
$720
Percent
of
Refund
45%
30%
20%
5%
100%
Central
Angle
Measure
162º
108º
72º
18º
360º
Clothing and Entertainment
Produced by the Southern Nevada Regional Professional Development Program (SNRPDP) June 09
Clothing