Download Section 2.4 Notes: Congruent Supplements and Complements

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Date: ______________ Honors Geometry
Section 2.4 Notes: Congruent Supplements and Complements
Theorem 4: If angles are supplementary to the same angle, then they are congruent.
Proof:
Given: ∠1 is supplementary to ∠2
∠3 is supplementary to ∠2
Prove: ∠1 ≅ ∠3
Statement
Reason
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Theorem 5: If angles are supplementary to congruent angles, then they are congruent.
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.
Proofs for these theorems are very similar to the proof for Theorem 4. We will not do them all in class.
Example 1
Given: ∠1 is supplementary to ∠2
∠3 is supplementary to ∠4
∠1 ≅ ∠4
Prove: ∠2 ≅ ∠3
Statement
Reason
Example 2
Given: ∠ is complementary to ∠
∠
is complementary to ∠
Prove: ∠ ≅ ∠
Statement
Reason
Example 3:
Given: Diagram as Shown
Prove: ∠
≅∠
Statement
Reason
Example 4:
Given:
∠
≅∠
Prove: ∠
≅∠
Statement
Reason