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What additional information do you need to prove that ∆AMD ≅ ∆CNB by the HL Theorem?

A) (lines) AN = CM
B) ∠D ≅ ∠B
C) ∠AMC ≅ ∠CNA
D) (lines AM = CN

What additional information do you need to prove that ∆AMD ≅ ∆CNB by the HL Theorem-example-1
User FableBlaze
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(H)ypotenuse (L)eg, right-triangle theorem.

based on the provided graph, we know the hypotenuses are equal, thus the tickmarks, so H is true, now the L part, we only need either of the pair of legs to be equal DM = NB or AM = CN, if either one is true, we're golden.
User Right Of Zen
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