Question

that the triangles below are congruent select all options that would provide enough information to prove the triangles are congruent

Answer 1

The correct options are options C and D;

1) Angle C is congruent to E

2) BA and FD are congruent

Here, we want to select the options that would prove that the triangles are congruent

We can get that from the markings on the diagram

As we can see from the question, we already have two sides being equal as we can see from the markings

Hence, we need an extra information to see through that the two triangles are indeed congruent

If the sides BA and FD are equal, it will simply mean that the three sides of the triangle are equal. In that case, the two triangles are congruent by SSS (side-side-side)

Also, if the angles C and E are congruent, we will have that the two triangles are similar by the SAS (side-angle-side)

So, the correct options are C and D