Question

use the image to answer the question

in a proof that the diagonals of rectangle abcd are congruent, which statement comes just after the statements that ( overline{ad} cong overline{bc} ), ( overline{ab} cong overline{ab} ), and ( angle dab cong angle cba )?

(1 point)

Explanation:

Step1: Recall the SAS (Side - Angle - Side) congruence criterion

In triangle congruence, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
We have \( \overline{AD}\cong\overline{BC}\), \( \overline{AB}\cong\overline{AB}\) (common side), and \( \angle DAB\cong\angle CBA\).

Step2: Apply the SAS criterion

By the SAS (Side - Angle - Side) congruence criterion, \(\triangle DAB\cong\triangle CBA\)

Answer:

\(\triangle DAB\cong\triangle CBA\)