If AC bisects ∠BAD, is ABC ≅ ADC? Explain.
The?image?consists?of?a?regular?triangle?ABD?with?base?AD.?A?segment?joins?vertex?A?to?side?BD?at?point?C?making?an?angle?of?90?degrees?with?it.
A. Yes; then ∠BAC is congruent to ∠DAC, and the triangles are congruent by ASA.
B. Yes; then ∠BAC is congruent to ∠CAD, and the triangles are congruent by AAS.
C. No; in that case, only two pairs of corresponding congruent angles would be known.
D. No; in that case, only one pair of corresponding congruent angles and one pair of corresponding congruent sides would be known.