CTET PAPER II 2019 · PYQ · Triangle Congruence · medium
△ABC and △ADB are on the common base AB and on the same side of AB. DA⊥AB, CB⊥AB and AC = BD. Which of the following is true?
A.△ABC ≅ △ABD
B.△ABC ≅ △ADB
C.△ABC ≅ △BAD✓ Correct
D.△ABC ≅ △BDA
Explanation
In △ABC and △BAD: AB = BA (common side), ∠ABC = ∠BAD = 90° (given DA⊥AB and CB⊥AB), and AC = BD (given as hypotenuses). By RHS congruence, △ABC ≅ △BAD. The correspondence is A↔B, B↔A, C↔D.
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