Question

use the figure to complete each part. (a) name the vertex of ∠sqr. (b) name the sides of ∠2. (c) write two other names for ∠1.

Explanation:

Step1: Recall vertex - angle relationship

The vertex of an angle is the common endpoint of the rays that form the angle. For $\angle SQR$, the common endpoint of rays $\overrightarrow{QS}$ and $\overrightarrow{QR}$ is point $Q$.

Step2: Recall sides - angle relationship

The sides of an angle are the two rays that form the angle. For $\angle2$, the rays are $\overrightarrow{QR}$ and $\overrightarrow{QS}$.

Step3: Recall angle - naming conventions

An angle can be named by its vertex (when there is no ambiguity), or by three points with the vertex in the middle. For $\angle1$, two other names are $\angle TQR$ and $\angle RQT$.

Answer:

(a) $Q$
(b) $\overrightarrow{QR}$, $\overrightarrow{QS}$
(c) $\angle TQR$, $\angle RQT$