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SAS Criteria for Congruency

In the adjoin...

Question

$In the adjoining figure, X and Y are respectively two points on equal sides AB and AC of Δ A B C such that AX = AY. Prove that CX = BY.$

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Solution

ANSWER:
In $Δ A X C a n d Δ A Y B, w e h a v e : A C = A B (G i v e n) A X = A Y (G i v e n) ∠ B A C = ∠ C A B (A n g l e c o m m o n t o Δ A X C a n d Δ A Y B$
∴ $Δ A X C ≅ Δ A Y B$ (SAS criterion)So, CX=BY (CPCT)
Hence, proved.

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