D No the triangles cannot be proven congruentSolutionGiven a

D. No, the triangles cannot be proven congruent.

Solution

Given are two right triangles with m(ACD) = m(ACB) = 90 degrees.
From the figure, AB = AD.

In Triangles ACB and ACD,
1.AB = AD
2.m(ACB) = m(ACD)
3.Common SIde AC
Therefore by RHS Congruency, both traingles ACB and ACD are congruent.

Option B is the answer.