Lesson 5-4: Proving Angle Relationships

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Lesson 5-4: Proving
Angle Relationships

Get notebooks and pencils ready!

​Objective: Students will identify and prove relationships between angle pairs, including supplementary, complementary, vertical, and adjacent angles using postulates and theorems.

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4

Agenda

Science Presentation

Protractor and Angle Addition Postulates

Supplement and Complement Theorem

Vertical Angles Theorem

1.

2.

3.

5

9

​Think-Pair-Share

​Why are linear pairs always supplementary? Can you explain this using a specific example and justify it with a theorem or postulate?

• Spend 2-minutes individually reflecting.

• Write 1-2 sentences answering the question.

• Be ready to share with a partner.

Multiple Choice

What is the m∠5 and m∠6?

• 90°

• 60°

• 30°

• 45°

13

Identify the angle pairs:

1.Vertical Angles:

2.

Supplementary Angles

3.

Complementary Angles

Identify the angle pairs:

1.Vertical Angles:

2.

Supplementary Angles

3.

Complementary Angles

Identify the angle pairs:

1.Vertical Angles:

2.

Supplementary Angles

3.

Complementary Angles

Poll

What was the most challenging for you?

• Vertical Angles

• Supplement Theorem

• Complement Theorem

• Angle Addition Postulate

Open Ended

Write any questions you might have about this lesson.