Question

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

Explanation:

Step1: Recall vertex - definition

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

Step2: Recall angle - naming rules

An angle can be named by its vertex (if there is only one angle at that vertex), or by three points with the vertex in the middle. For $\angle RQS$, other names are $\angle SQR$ and $\angle 2$ (assuming $\angle 2$ is labeled as $\angle RQS$).

Step3: Recall side - definition

The sides of an angle are the two rays that form the angle. For $\angle 1$, the rays are $\overrightarrow{QT}$ and $\overrightarrow{QR}$.

Answer:

(a) $Q$
(b) $\angle SQR$, $\angle 2$
(c) $\overrightarrow{QT}$, $\overrightarrow{QR}$