Question

question: which triangle congruence theorem could be used to immediately show ABC=CDA with no additional steps?

Answer 1

The answer to the question is SAS

Answer 2

Answer:

SAS.

Step-by-step explanation:

In the graph we have a rectangle, which is defined as a parallelogram, this means that the figure has all four angles congruent to 90°.

So, the problem as is being shown, it's already solved, because we have two corresponding sides congruent and the angles between those sides are also congruent.

Therefore, we just need to say that according to SAS postulate congruence, which is Side-Angle-Side, these rectangles are already congruent, with no extra step because it's all solved already.

(Notice that those angles we are talking about are angle B and D, they both are equal to 90° because they are inside a rectangle.)