Angle Relationships

by Hannah Ryan

| 8 QuestionsUse the worksheet below to explore angle relationships from parallel lines cut by a transversal.

1

1

If <ABC equals 45º, what is the angle of <CBE ?

45º

50º

145º

135º

Use the image below for Questions 1, 2, & 3.

2

1

#1. Which of the following pairs of angles are Corresponding Angles?

Select all that apply.

i & m

j & n

k & o

l & p

3

1

#2. Which of the following pairs of angles are Alternate Exterior Angles?

Select all that apply.

angles i & p

angles j & p

angles i & o

angles j & o

4

1

#3. Which of the following pairs of angles are Consecutive Interior Angles?

Select all that apply.

angles k & n

angles k & m

angles l & m

angles l & n

Use the image below for Questions 4 & 5.

5

1

#4. Which of the following pairs of angles are Alternate Interior Angles?

Select all that apply.

angles u & x

angles u & w

angles v & w

angles v & x

6

1

#5. Which of the following pairs of angles are Vertically Opposite Angles?

Select all that apply.

s & v

t & u

y & z

u & v

Go to the website below to play a game that helps you to recognize vertically opposite, corresponding, and alternate angles formed by parallel lines and a transversal.

http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.ANG&lesson=html/object_interactives/parallel_lines/use_it.html

Geometry Town

The specifications for your town project are listed below.

Drag the icons for the given building to the appropriate places.

If you need to reset your buildings, click the double-arrow icon in the upper right corner.

• The house and grocery store are alternate interior angles.

• The gas station and shopping center are alternate exterior angles.

• The grocery store and town hall are a consecutive (same side) interior angles.

• The house and park are corresponding angles.

• The town hall and gas station are vertical angles.

• The grocery store and restaurant are alternate interior angles.

• The park and barber shop are consecutive (same side) exterior angles.

• The park and the church are alternate-exterior angles.

• The church and the school are corresponding angles.

• The post office and shopping center are linear pair.

7

1

#6. If the house and the park are corresponding angles and the house has an angle of 52º, what is the angle of the park?

8

1

#8. If the town hall and gas station are vertical angles and the town hall has an angle of 60º, what is the angle of the gas station?

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