Types of Angles - Marlboro Central High School · 7 6 1 Identify angles a and b as supplementary,...
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• Notes Pages • Practice • Assessment Types of Angles
Transcript of Types of Angles - Marlboro Central High School · 7 6 1 Identify angles a and b as supplementary,...
•Notes Pages•Practice•Assessment
Types of Angles
Possible Directions For Use:
1. Copy the Notes Pages for each student. I have students cut out each vocabulary word and glue it in (after the notes are finished), so I copy it single sided.
2. Use the answer key to guide you as you take students through the notes.
3. Once notes are completed, have students cut and paste them into their notebooks.
4. Pass out the worksheet as homework, in-class practice, or partner work.
5. The half-sheet exit slip can be used as a formative assessment, for homework, or as an entrance slip the next day.
Helpful hint: I have a bulletin board, where I staple up all notes pages answer keys after a lesson. This is helpful for absent students. I also will use it as a reference throughout the unit.
From a Love
Illustrations Example Problem
Definition Properties/Facts
supplementary angles
Illustration Example Problem
Definition Properties/Facts
complementary angles
Angles a and b are supplementary. The measurement of angle a is 40°. Find the measurement of angle b.
Angles a and b are complementary. The measurement of angle a is 23°. Find the measurement of angle b.
Types of Angles - NotesFrom a Love
©2016 Math on the Move
Illustrations Example Problem
Definition Properties/Facts
vertical angles
Illustration Example Problem
Definition Properties/Facts
adjacent angles
Angles a and b are vertical angles. The measurement of angle a is 35°. Find the measurement of angle b.
The measurement of ∠XYZ = 75°. Find m ∠WYZ.
X
Y Z
W
47°
Types of Angles - NotesFrom a Love
©2016 Math on the Move
7
6
1
Identify angles a and b as supplementary, complementary, vertical, or adjacent. If an angle can be classified as more than one type, write all that apply.
Types of Angles - Practice Worksheet Name:
2 3
4 5
a
ba b a
b
b
ab
Find the given types of angles using the image below.
8
9
Name two pairs of supplementary angles.
Name two pairs of vertical angles.
Name a pair of complementary angles.
a b
cd
e j
f
i
g h
kl
m
n
a
b
45°a
From a Love
©2016 Math on the Move
Use a ruler to construct the given types of angles. Use a protractor to measure and label the angles with their measurements.
Use the given angle measurements to find the measurement of the other angles.
a b
cd
e 50° i
g h
kln
85°
45°
m ∠ a =m ∠ b =m ∠ c =m ∠ d =m ∠ e =m ∠ g =m ∠ h =m ∠ i =m ∠ k =m ∠ l =m ∠ n =
10
11 12
13 14
Complementary angles that are also adjacent.
Vertical angles.
Supplementary angles that are also adjacent.
Supplementary angles that are not adjacent.
From a Love
©2016 Math on the Move
Identify angles a and b as supplementary, complementary, vertical, or adjacent. If an angle can be classified as more than one type, write all that apply.
Types of Angles - Exit Slip Name:
a b
1 2 3
142° b
ab
4 5Find the measure of angle b.
Justify your answer. Find the measure of angle b.
Justify your answer.
ba
b
Identify angles a and b as supplementary, complementary, vertical, or adjacent. If an angle can be classified as more than one type, write all that apply.
Types of Angles - Exit Slip Name:
a b
1 2 3
142° b
ab
4 5Find the measure of angle b.
Justify your answer. Find the measure of angle b.
Justify your answer.
ba
b
From a Love
©2016 Math on the Move
Illustrations Example Problem
Definition Properties/Facts
supplementary angles
Illustration Example Problem
Definition Properties/Facts
complementary angles
Two angles that have a sum of 180°
Angles do not have to share a ray or be connected
Angles a and b are supplementary. The measurement of angle a is 40°. Find the measurement of angle b.
KEY
Angles a and b are complementary. The measurement of angle a is 23°. Find the measurement of angle b.
a + b = 18040 + b = 180b = 140°
a + b = 9023 + b = 90b = 67°
a b45°
135°
Two angles that have a sum of 90°
Angles do not have to share a ray or be connected
ab
45°
45°
From a Love
©2016 Math on the Move
Illustrations Example Problem
Definition Properties/Facts
vertical angles
Illustration Example Problem
Definition Properties/Facts
adjacent angles
Two angles formed when two lines intersect that are opposite each other
Vertical angles are congruent. Share a vertex but no common ray.
Angles a and b are vertical angles. The measurement of angle a is 35°. Find the measurement of angle b.
KEY
The measurement of ∠XYZ = 75°. Find m ∠WYZ.
a = b35 = bb = 35°
a + 47 = 75a = 28°
a
b
Two angles that share a common vertex and a common ray
When two lines intersect, adjacent angles are also supplementary.
ab
55°
55°
a
b
X
Y Z
W
47°
From a Love
©2016 Math on the Move
7
6
1
Identify angles a and b as supplementary, complementary, vertical, or adjacent. If an angle can be classified as more than one type, write all that apply.
Types of Angles - Practice Worksheet Name:
2 3
4 5
a
ba b a
b
b
ab
Find the given types of angles using the image below.
8
9
Name two pairs of supplementary angles.
Name two pairs of vertical angles.
Name a pair of complementary angles.
a b
cd
e j
f
i
g h
kl
m
n
a
b
45°a
KEY
VerticalAdjacent and
Supplementary Adjacent
Vertical and Complementary
Adjacent and Supplementary
Adjacent and Complementary
example: ∠ g and ∠ h
example: ∠ j and ∠ h
example: ∠ c and ∠ d
From a Love
©2016 Math on the Move
Use the given angle measurements to find the measurement of the other angles.
a b
cd
e 50° i
g h
kln
85°
45°
m ∠ a =m ∠ b =m ∠ c =m ∠ d =m ∠ e =m ∠ g =m ∠ h =m ∠ i =m ∠ k =m ∠ l =m ∠ n =
Construct the given types of angles. Then use a protractor to measure the angles.
10
11 12
13 14
Complementary angles that are also adjacent.
Vertical angles.
Supplementary angles that are also adjacent.
Supplementary angles that are not adjacent.
45°
90°
45°
45°
90°
130°
50°
130°
85°
95°
95°
Answers will vary
From a Love
©2016 Math on the Move
Identify angles a and b as supplementary, complementary, vertical, or adjacent. If an angle can be classified as more than one type, write all that apply.
Types of Angles - Exit Slip Name:
a b
1 2 3
142° b
ab
4 5Find the measure of angle b.
Justify your answer. Find the measure of angle b.
Justify your answer.
ba
b
Identify angles a and b as supplementary, complementary, vertical, or adjacent. If an angle can be classified as more than one type, write all that apply.
Types of Angles - Exit Slip Name:
a b
1 2 3
142° b
ab
4 5Find the measure of angle b.
Justify your answer. Find the measure of angle b.
Justify your answer.
ba
b
Adjacent and Supplementary
Adjacent and Complementary Vertical
38°The angles are
supplementary, so their sum is 180°
90°The angles are
vertical, so they are congruent. (they are also supplementary)
From a Love
©2016 Math on the Move
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