Use right angle congruence

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EXAMPLE 2 Prove a case of Congruent Supplements Theorem Prove that two angles supplementary to the same angle are congruent. GIVEN: 1 and 2 are supplements. 3 and 2 are supplements. PROVE: 3

Transcript of Use right angle congruence

  • EXAMPLE 1Use right angle congruence

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  • EXAMPLE 2Prove a case of Congruent Supplements Theorem

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  • EXAMPLE 2Prove a case of Congruent Supplements Theorem

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  • GUIDED PRACTICEfor Examples 1 and 21. How many steps do you save in the proof in Example 1 by using the Right Angles Congruence Theorem?2. Draw a diagram and write GIVEN and PROVE statements for a proof of each case of the Congruent Complements Theorem.

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  • GUIDED PRACTICEfor Examples 1 and 2

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  • GUIDED PRACTICEfor Examples 1 and 2

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  • EXAMPLE 3Prove the Vertical Angles Congruence Theorem

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  • EXAMPLE 3Prove the Vertical Angles Congruence Theorem

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  • GUIDED PRACTICEfor Example 3

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  • GUIDED PRACTICEfor Example 3

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  • GUIDED PRACTICEfor Example 36. Which previously proven theorem is used in Example 3 as a reason?

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  • EXAMPLE 4Standardized Test PracticeSOLUTION

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  • GUIDED PRACTICEfor Example 47. Solve for x.SOLUTION32 + (3x +1) = 180Original equation32 + 3x +1 = 180Distributive property of equality3x = 147Subtract 33 from each side x = 49Divide each side by 3Use the diagram in Example 4.

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  • GUIDED PRACTICEfor Example 4Substitute the value x = 49SOLUTIONUse the diagram in Example 4.

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