Question

which two triangles are congruent by the sas theorem? complete the congruence statement. △≅△

Explanation:

Step1: Identify corresponding sides and angles

For SAS (Side - Angle - Side) congruence, we need two sides and the included angle to be equal.
In \(\triangle RST\) and \(\triangle VWU\), we check:

• Let's assume the side with one mark, side with two marks and the included angle.
• In \(\triangle RST\), we have two sides (one with one mark and one with two marks) and an included angle.
• In \(\triangle VWU\), we have two sides (one with one mark and one with two marks) and an included angle.

Step2: Write the congruence statement

By SAS congruence criterion, \(\triangle RST\cong\triangle VWU\)

Answer:

\(\triangle RST\cong\triangle VWU\)