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Chapter 2.5 Proving Angles Congruent Bell Work • If you get an A, then you’ll get money • 1) Amanda got a 95% in science – Conclusion: • 2) Amanda got $100 from grandma – Conclusion: • 3) If you are fit, then you are hot • If you are hot, then you will get a lot of dates – Conclusion: Vocabulary • Complementary Angle = two angles that add up to 90 (right angle) • Supplementary Angle = two angles that add up to 180 (straight line) • Theorem = A theorem is a conjecture that is proven Vocabulary • Paragraph proof = Proof written in paragraph form Vertical Angles Theorem • Vertical angles are congruent 1 3 2 4 Example • Which are vertical angles? Congruent Supplements Theorem • If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent Congruent Complements Theorem • If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent • All right angles are congruent • If two angles are congruent and supplementary, then each is a right angle Solving Example with Vertical Angles Solving Example with Supplementary Angle Solving Example with Complementary Angle Solving problem with combination of vertical and supplementary Activity (5 min) • Write the summary about this section in your Cornell note. • Some questions to consider: – What is the topic about? – What did I learn from this lesson? – What questions do I have? – How does it relate to other lessons/real life? Classwork • P 112 #1-6, 12, 13, 30-32