Question

example 3 prove that two triangles are congruent try it! 3. write a proof to show that △srv≅△tuw. enter your answer. check answer

Explanation:

Step1: Identify equal - side information

In the figure, we can observe that $SR = TU$ (marked with single - hash lines).

Step2: Identify equal - angle information

$\angle SRV=\angle TUW = 90^{\circ}$ (marked with right - angle symbols). Also, $\angle RSV=\angle TUV$ (marked with double - arc angles).

Step3: Apply congruence criterion

By the Angle - Side - Angle (ASA) congruence criterion, since we have two pairs of equal angles and the included side between them equal, we can conclude that $\triangle SRV\cong\triangle TUW$.

Answer:

We have $\angle SRV=\angle TUW$, $SR = TU$, and $\angle RSV=\angle TUV$. By the ASA (Angle - Side - Angle) congruence criterion, $\triangle SRV\cong\triangle TUW$.