Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which two triangles are congruent? complete the congruence statement.

Question

which two triangles are congruent? complete the congruence statement.

Explanation:

Step1: Identify congruent - side and angle markings

In $\triangle VUW$ and $\triangle RST$, we see that $\angle U=\angle S$ (marked with single - arc angles), $UW = ST$ (marked with double - hash segments), and $VU=RS$ (marked with single - hash segments).

Step2: Apply congruence criterion

By the Side - Angle - Side (SAS) congruence criterion, since two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, the two triangles are congruent.

Answer:

$\triangle VUW\cong\triangle RST$