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Published byEthel Hamilton Modified over 9 years ago
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EXAMPLE 1 Draw Conclusions In the diagram, AB BC. What can you conclude about 1 and 2 ? SOLUTION AB and BC are perpendicular, so by Theorem 3.9, they form four right angles. You can conclude that 1 and 2 are right angles, so 1 2.
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EXAMPLE 2 Prove Theorem 3.10 Prove that if two sides of two adjacent acute angles are perpendicular, then the angles are complementary. Given ED EF Prove 7 and 8 are complementary.
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GUIDED PRACTICE for Examples 1 and 2 Given that ABC ABD, what can you conclude about 3 and 4 ? Explain how you know. 1. They are complementary. Sample Answer: ABD is a right angle since 2 lines intersect to form a linear pair of congruent angles (Theorem 3.8 ), 3 and 4 are complementary. ANSWER
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