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EXAMPLE 1

BC DA , BC AD. ABC CDA. STATEMENTS. REASONS. S. BC DA. Given. Given. BC AD. BCA DAC. A. Alternate Interior Angles Theorem. S. AC CA. Reflexive Property of Congruence. EXAMPLE 1. Use the SAS Congruence Postulate. Write a proof. GIVEN. PROVE. EXAMPLE 1.

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EXAMPLE 1

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  1. BC DA,BC AD ABCCDA STATEMENTS REASONS S BC DA Given Given BC AD BCADAC A Alternate Interior Angles Theorem S ACCA Reflexive Property of Congruence EXAMPLE 1 Use the SAS Congruence Postulate Write a proof. GIVEN PROVE

  2. EXAMPLE 1 Use the SAS Congruence Postulate STATEMENTS REASONS ABCCDA SAS Congruence Postulate

  3. Because they are vertical angles, PMQRMS. All points on a circle are the same distance from the center, so MP, MQ, MR, and MSare all equal. ANSWER MRSand MPQ are congruent by the SAS Congruence Postulate. EXAMPLE 2 Use SAS and properties of shapes In the diagram, QSand RPpass through the center Mof the circle. What can you conclude about MRSand MPQ? SOLUTION

  4. Prove that SVRUVR STATEMENTS REASONS SV VU Given SVRRVU Definition of line Reflexive Property of Congruence RVVR SVRUVR SAS Congruence Postulate for Examples 1 and 2 GUIDED PRACTICE In the diagram, ABCDis a square with four congruent sides and four right angles. R, S, T, and Uare the midpoints of the sides of ABCD. Also, RT SUand . SU VU

  5. STATEMENTS REASONS Given BS DU Definition of line RBSTDU Given RSUT SAS Congruence Postulate BSRDUT for Examples 1 and 2 GUIDED PRACTICE BSRDUT Prove that

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