In ΔABD, AB = AD and AC is perpendicular to BD. State the congruence rule by which ΔACB≅ΔACD.
Options:
A .  SAS congruence rule
B .  SSS congruence rule
C .  RHS congruence rule
D .  ASA congruence rule
Answer: Option C : C In the given triangle,AB=AD(Given)ACis the common side∠ACB=∠ACD=90∘ ∴ΔACB≅ΔACD [ RHS criteria] Hence, by RHS congruence rule, the two triangles are congruent.
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