Proof A)
Given: Line AD is perpendicular Line BC, Line BA is congruent to AC
Prove: Triangle ABD is congruent to Triangle ACD
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Step-by-step explanation:
Construction - draw line AB and line AC
Solution -
In ΔABD and ΔACD
∠DAB ≅ ∠DAC [ each is 90° ]
seg AD ≅ seg AD [ common side ]
seg BA ≅ seg AC [ given ]
∴ ΔABD ≅ ΔACD [ by SAS test of congruence ]
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