Question

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

Explanation:

Step1: Recall angle - side definition

An angle is formed by two rays with a common endpoint. For $\angle TQR$, the two rays (sides) are $\overrightarrow{QT}$ and $\overrightarrow{QR}$.

Step2: Recall angle - naming rules

An angle can be named by the number inside it, by the vertex if it is the only angle at that vertex, or by three - point naming. $\angle2$ can also be named as $\angle RQS$ and $\angle SQR$.

Step3: Recall vertex definition

The vertex of an angle is the common endpoint of the two rays that form the angle. For $\angle1$, the vertex is point $Q$.

Answer:

(a) $\overrightarrow{QT}$ and $\overrightarrow{QR}$
(b) $\angle RQS$ and $\angle SQR$
(c) $Q$