Is there enough information to conclude that the two triangles are congruent? if so, which is the correct congruence statement?
yes; triangle cab is congruent to triangle dac
yes' triangle acb is congruent to triangle acd
yes' triangle abc is congruent to triangle acd
no; the triangles cannot be proven congruent.

Option A. is the correct option.

Step-by-step explanation:

It is given In the triangle ABC and triangle ADC

Sides AB is congruent to side AD and side AC is common in both the triangles

∠ACD ≅ ∠ACB = 90°

Since triangle ABD is an isosceles triangle, so perpendicular drawn from A to side BD will equally bisect the side BD and ∠ABC ≅ ∠ADC

BC ≅ CD

Therefore, by ASA property in ΔABC and ΔADC

∠ABC ≅ ∠ADC

∠ACB ≅ ∠ACD ≅ 90°

And BC ≅ CD

Therefore, ΔABC ≅ ΔADC

Option A. will the answer.

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