Question

which triangle is congruent to △abc?

Explanation:

Step1: Recall congruence criteria

Triangles are congruent if they have the same size and shape, which can be determined by side - angle - side (SAS), angle - side - angle (ASA), side - side - side (SSS) etc. Here, we match corresponding sides and angles.

Step2: Match elements

In \(\triangle ABC\), we have a side - angle - side combination. We need to find a triangle with the same side - angle - side match.
Looking at the options, we check the lengths of sides (marked with single or double lines) and the included angles.

Step3: Identify congruent triangle

By comparing the side - angle - side combinations, we find that the correct triangle has the same side lengths and included angle as \(\triangle ABC\).

Answer:

D. Option D's triangle is congruent to \(\triangle ABC\) as it has the same side - angle - side combination.