The theorem that can be used to prove that ΔABC and ΔCDA are congruent is: B. ASA
What is the ASA Congruence Theorem?
The Angle-Side-Angle Congruence Theorem (ASA), is a triangle theorem that proves that two triangles having two pairs of congruent angles and a pair of equal sides are congruent to each other.
Thus, ΔABC and ΔCDA have:
- One pair of congruent sides - AC ≅ AC (reflexive property)
- Two pairs of congruent angles - ∠DAC ≅ ∠BCA and ∠BAC ≅ ∠DCA
Therefore, the theorem that can be used to prove that ΔABC and ΔCDA are congruent is: B. ASA
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