Prove Angle Pair Relationships Lesson 4.6 Page 223

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Prove Angle Pair RelationshipsLesson 4.6 Page
223
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Lesson 4.6

• The goal of this lesson is to be able to use the
  properties of special pairs of angles.

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Adjacent Angles

• 1. Two angles that share a common vertex and
  side, but have no common interior points are
  adjacent angles.

C
D
A
B
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Linear Pair

• 2. Two adjacent angles are a linear pair if their
• noncommon sides are opposite rays.

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A
D
B
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Theorem 4.3

• Right Angles Congruence Theorem
• All right angles are congruent.

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A
B
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Theorem 4.4

• 4. Congruent Supplements
• Theorem
• If two angles are supplementary to the
• same angle (or to
• congruent angles), then they are congruent.

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Theorem 4.5

• 5. Congruent Complements Theorem
• If two angles are complementary to the same
  angle (or to congruent angles), then they are
  congruent.

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Linear Pair Postulate

• 6. If two angles form a linear pair, then they
  are
• supplementary.

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Theorem 4.6

• 7. Vertical Angles
• Congruence Theorem
• Vertical angles are congruent.

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Example 1
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Guided Practice
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Example 2
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Example 3
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Homework Assignment Page 225 1 14 all