Question

use the figure to complete each part. (a) name the sides of $\angle tqr$. $\overrightarrow{tq}$ and $\overrightarrow{rq}$ (b) write two other names for $\angle 2$. $\angle rqs$ and $\angle sqr$ (c) name the vertex of $\angle 1$. q try again

Explanation:

Part (a)

Step1: Recall angle side definition

An angle's sides are the two rays forming it. For $\angle TQR$, the vertex is $Q$, and the rays are $\overrightarrow{TQ}$ and $\overrightarrow{RQ}$.

Step1: Recall angle naming rules

An angle can be named by its vertex in the middle, or by the two sides with vertex in between. For $\angle 2$, vertex is $Q$, sides are $\overrightarrow{RQ}$ and $\overrightarrow{SQ}$. So other names are $\angle RQS$ (using points $R, Q, S$) and $\angle SQR$ (using points $S, Q, R$).

Step1: Recall vertex definition

The vertex of an angle is the common endpoint of the two rays forming the angle. For $\angle 1$, the two rays are $\overrightarrow{TQ}$ and $\overrightarrow{RQ}$, so the common endpoint (vertex) is $Q$.

Answer:

$\overrightarrow{TQ}$ and $\overrightarrow{RQ}$

Part (b)