2/17/ : Verifying Angle Relationships 1 Expectation: You will write proofs in “If, then…” form.

2/17/ : Verifying Angle Relationships 2 Equivalence Property of Angle Congruence Congruence of angles is ________, ___________ and ____________.

2/17/ : Verifying Angle Relationships 5 ∠ A is supplementary to ∠ B and ∠ B is congruent to ∠ C. What can be said about ∠ A and ∠ C? Sketch a couple of examples to back up your conjecture.

2/17/ : Verifying Angle Relationships 6 Congruent Supplements Theorem If 2 angles are supplementary to the same angle or congruent angles then the angles are _________ to each other.

Make a conclusion based on the following statement. ∠ 1 is supplementary ∠ 2 2/17/ : Verifying Angle Relationships 8

Make a conclusion based on the following statement. ∠ 3 supplementary ∠ 2 2/17/ : Verifying Angle Relationships 9

If m ∠ 1 + m ∠ 2 = 180 and m ∠ 2 + m ∠ 3 = 180, what new equation can we write and why? 2/17/ : Verifying Angle Relationships 10

If m ∠ 1 + m ∠ 2 = m ∠ 2 + m ∠ 3, what algebra can we do to both sides? 2/17/ : Verifying Angle Relationships 12

If m ∠ 1 = m ∠ 3, then what must be true and why? 2/17/ : Verifying Angle Relationships 13

2/17/ : Verifying Angle Relationships 14 Given: ∠ 1 is supplementary ∠ 2 and ∠ 3 supplementary ∠ 2 Prove: ∠ 1 ≅∠ 3

2/17/ : Verifying Angle Relationships 16 Congruent Complements Theorem If 2 angles are complementary to the same angle or congruent angles then the angles are _________ to each other.

2/17/ : Verifying Angle Relationships 17 Make a conclusion based on: ∠ 1 ≅ ∠ 3, ∠ 1 complementary ∠ 2 and ∠ 3 complementary ∠ 4

Using complete sentences and proper geometrical terms, prove that 2 right angles ( ∠ A and ∠ B) are congruent. 2/17/ : Verifying Angle Relationships 18

2/17/ : Verifying Angle Relationships 20 Right Angle Congruence Theorem All right angles are ____________.

2/17/ : Verifying Angle Relationships 21 Assignment Study Guide 2-6 and 2-8