Given the diagram below where M is the midpoint of both AC and BD. Which congruence theorem proves △AMB ≅ △CMD?
ASSS
BSAS
CASA
DAAS
Explanation
Since M is the midpoint of AC: AM = CM. Since M is the midpoint of BD: BM = DM. ∠AMB = ∠CMD (vertical angles are congruent). Two sides and the included angle → SAS congruence theorem.
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