Question

What else is needed to prove these triangles congruent using the ASA postulate?

A. Nothing else is needed to use the ASA postulate.

B. Both
C. BC ≅ DC, and

Answer 1

To find:-

• What else is needed to prove the given triangles congruent by ASA postulate .

Answer:-

We are here given two triangles ∆ACB and ∆ECD , and we need to prove them congruent by ASA postulate.

For traingles to be congruent by ASA , two sides of the triangle and the angle between the two sides of the two triangles should be equal.

So , in ∆ACB and ∆ECD , we have;

• AC = CD [ given ]

Also , here

• ∠ACB = ∠ECD ( vertically opposite angles)

and angle C is between sides AC and BC in ∆ACB and it is between EC and DC in ∆ECD , so BC and DC should be also equal.

Therefore,

BC = DC and ∠C for both traingles needs to be congruent .

Hence option C is correct.

and we are done!