8.G.5 Angle Relationships

Learning Objective

Standard: 8.G.5

I can use informal arguments to explain the relationships between angles when a transversal line cuts through parallel lines

Open Ended

Why is it important to understand the relationships between angles formed when parallel lines are cut by a transversal?

The rise (vertical part) and the run (horizontal part) of a step often form complementary angles, creating a stable structure.

​Staircases

Parking spaces often use obtuse angles for spaces, which makes it easier for drivers to turn their cards and reduce the risk of accidents.

​Parking Spaces

When a player takes a shot, the path of the ball and the floor form an angle.

• If you picture a rebound or a bank shot off the backboard, the angle of incidence (how the ball hits) equals the angle of reflection (how it bounces off) — that’s an angle relationship!

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​Basketball

Draw

Circle how we are understanding the definition so far.

Draw

Circle how we are understanding the definition so far.

Draw

Circle how we are understanding the definition so far.

Drag and Drop

The angle relationship between Angle 3 and Angle 5 is

Placeholder

Drag these tiles and drop them in the correct blank above

same-side interior

corresponding

vertical angles

alternate interior

alternate exterior

same-side exterior

Drag and Drop

The angle relationship between Angle 2 and Angle 3 is​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

vertical angles

corresponding

same-side interior

same-side exterior

alternate interior

alternate exterior

Open Ended

If I told you the lines weren't parallel, what would happen to the angle relationships?

Open Ended

“If we only knew one angle measure, what’s your strategy to find the rest?

Draw

Show your work!

What is the value of x?

Labelling

Find the value of x and the value of y.

Drag labels to their correct position on the image

y = 62

y = 118

x = 62

x = 118

Math Response

What is the value of x ?

Type answer here

Correct Answer: 67

Deg^°

Rad

Labelling

Find the value of x, y, and z .

Drag labels to their correct position on the image

y = 100

z = 100

x = 100

z = 80

x = 80

y = 80

Math Response

Find the value of x.

Type answer here

Correct Answer: 126

Deg^°

Rad

Labelling

Find the value of x, y, and z .

Drag labels to their correct position on the image

x = 51

x = 129

z = 51

y = 51

z = 129

y = 129

Multiple Choice

CHOOSE THE CORRECT ANSWER.

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• B

• C

• D

Multiple Choice

CHOOSE THE CORRECT ANSWER.

• A

• B

• C

• D

Multiple Choice

CHOOSE THE CORRECT ANSWER.

• A

• B

• C

• D

Multiple Choice

CHOOSE THE CORRECT ANSWER.

• A

• B

• C

• D

Multiple Choice

CHOOSE THE CORRECT ANSWER.

• A

• B

• C

• D

Multiple Choice

CHOOSE THE CORRECT ANSWER.

• A

• B

• C

• D

Math Response

WHAT IS THE MEASURE OF ANGLE 2?

Type answer here

Correct Answer: 115

Deg^°

Rad

Math Response

WHAT IS THE MEASURE OF ANGLE 3?

Type answer here

Correct Answer: 117

Deg^°

Rad

Math Response

WHAT IS THE MEASURE OF ANGLE 6?

Type answer here

Correct Answer: 123

Deg^°

Rad

Draw

Circle the name of ANY student who made a true statement.

​Exit Ticket Assignment