Lesson 2.4 Congruent Supplements and Complements Objective: To prove angles congruent by means of four new theorems.

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Congruent Supplements and Complements

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Lesson 2.4 Congruent Supplements and Complements Objective: To prove angles congruent by means of four new theorems

In the diagram below, is supplementary to, and is also supplementary to. How large is ? Now calculate. How does compare with ? Your results will illustrate (but not prove) the following theorem. A 70

Theorem 4 If angles are supplementary to the same angle, then they are congruent Given: Prove: 3 4 5

Theorem 5 If angles are supplementary to congruent angles, then they are congruent Given: Prove: H F G J

Theorem 6 If angles are complementary to the same angle, then they are congruent. Theorem 7 If angles are complementary to congruent angles, then they are congruent.

Let’s try so more… Given: Prove: StatementsReasons

Given: Conclusion: StatementsReasons B A C D ?

StatementsReasons H E F G J Given: Prove: Diagram as shown

StatementsReasons Given: Prove: K RP M O

Lesson 2.4 Worksheet Homework Summary… You need to memorize the theorems. How are you going to remember them?