Download Lesson 1: Complementary, Supplementary and Vertical Angles

RCSD Geometry Local MATHEMATICS CURRICULUM
Lesson 1
U7
GEOMETRY
Name:_______________________
Period:________ Date:____________
Lesson 1: Complementary, Supplementary and Vertical Angles
Learning Target:
 I can identify the vertical, supplementary and complementary angles
 I can apply the knowledge of supplementary complementary and vertical angles to find the missing
angle
Let’s complete the definitions
Draw each pair of angles here
Complementary angles add
Angle 1 and 2 are complementary angles. Angle 1
measures 60°. Find the measure of angle 2.
Supplementary angles add
Angles 1 and 2 are supplementary angles. Angle 1
measures 110°. Find the measure of angle 2.
Vertical Angles are
Angles 1 and 3 are vertical angles. Angle 1 is 38°.
What is the measure of angle 3 ? ________
What is the measure of angle 2 ? _________
Guided Practice
Example 1
What is the relationship between ∠1 and ∠2 ?
They are _____________________________
What is the measure of ∠2 ? ____________
2
1
45°
U7
Lesson 1
RCSD Geometry Local MATHEMATICS CURRICULUM
GEOMETRY
Name:_______________________
Example 2
Period:________ Date:____________
What is the relationship between ∠1 and ∠2 ?
They are _____________________________
What is the measure of ∠2 ? ____________
2
65°
1
Example 3
What is the relationship between ∠1 and ∠3 ?
2
They are _____________________________
What is the measure of ∠1 ? ____________
35°
1
3
What is the measure of ∠2 ? ____________
Example 4
What is the relationship between ∠1 and ∠2 ?
They are _____________________________
What is the measure of ∠2 ? ____________
2
1
50°
Directions: Find all of the missing angles and write their measures in the appropriate place in the diagrams
below.
Lesson 1
RCSD Geometry Local MATHEMATICS CURRICULUM
U7
GEOMETRY
Name:_______________________
Directions:
Period:________ Date:____________
Base your answers to the questions on the diagram shown below.
D
C
E
F
B
H
A
G
1. If mAGB = 35°, what is mBGD ? _________
2. If mDGF = 82°, what is mFGH ? _________
3. If mAGE = 135°, what is mEGH ? _________
Lesson 1
RCSD Geometry Local MATHEMATICS CURRICULUM
U7
GEOMETRY
Name:_______________________
Period:________ Date:____________
Lesson 1: Complementary, Supplementary and Vertical Angles
Classwork
Activity 1:
Base your answers to the questions on the diagram shown below.
D
C
E
F
B
H
A
G
1. If mAGB = 25°, what is mBGD ? _________
2. If mDGF = 62°, what is mFGH ? _________
3. If mAGE = 120°, what is mEGH ? _________
4. If mCGH = 115°, what is mAGC ? _________
Activity 2:
Base your answers to questions 5-8 on the diagram shown to the right.
5. If m1 = 105°, then m3 = _____________.
6. 4   ____________
7.  2 and  ____________ are supplementary angles
1
4
2
3
8. 3   ____________
Activity 3:
Base your answers to questions 9 - 12 on the diagram shown to the right.
1. If m1 = 125°, then m3 = _____________.
2. 3   ____________
3. 1 and  ____________ are supplementary angles
4. 2   ____________
1
4
2
3
Lesson 1
RCSD Geometry Local MATHEMATICS CURRICULUM
U7
GEOMETRY
Name:_______________________
Activity 4:
Name each of the following:
B
A
C
D
E
Period:________ Date:____________
a. A pair of complementary angles __________________
b. A pair supplementary angles_____________________
F
c. A right angle
____________________________
d. A pair of vertical angles_______________________
e. An acute angle________________________________
f. An obtuse angle______________________________
g. A straight angle_____________________________
Activity 5. Determine the measure of the missing angle in each diagram.
Activity
Activity 6. Two complementary angles measure 3x and 2x + 15°. How many degrees are there in x?
Activity 7. The complement of an angle is 29°. What is the measure of the angle?
RCSD Geometry Local MATHEMATICS CURRICULUM
Lesson 1
U7
GEOMETRY
Name:_______________________
Period:________ Date:____________
Activity 8. If m∠DOE = 24° and m∠EOF = 21°, then what is the measure of ∠DOF?
47°
42°
50°
45°
Activity 9. Name an angle complementary to ∠COD. Answer:_________________________
Activity 10. In the figure shown, m∠ AED = 97. Which statement is false?
m∠AEB = 83
m∠BEC = 97
∠AEB and m∠DEC are congruent angles.
∠BEC and m∠CED are vertical angles
Activity 11. The complement of an angle is 29°. What is the measure of the angle? _______________
RCSD Geometry Local MATHEMATICS CURRICULUM
Lesson 1
U7
GEOMETRY
Name:_______________________
Period:________ Date:____________
Lesson 1: Complementary, Supplementary and Vertical Angles
Homework
RCSD Geometry Local MATHEMATICS CURRICULUM
Lesson 1
U7
GEOMETRY
Name:_______________________
Period:________ Date:____________