7.2 SAS Axiom & ASA Theorem

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Key Formulas

Solved Examples

Step 1

Given: ABCDAB \parallel CD, OA=ODOA = OD.

Step 2

Consider ΔAOB\Delta AOB and ΔDOC\Delta DOC.

Step 3

  1. BAO=CDO\angle BAO = \angle CDO (Alternate Interior Angles, since ABCDAB \parallel CD).

Step 4

  1. OA=ODOA = OD (Given).

Step 5

  1. AOB=DOC\angle AOB = \angle DOC (Vertically Opposite Angles).

Step 6

By ASA Criterion, ΔAOBΔDOC\Delta AOB \cong \Delta DOC.

Final Answer

Proved via ASA.

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