Question

use the figure to complete each part. (a) write two other names for ∠qmp. ∠ and ∠pmq (b) name the vertex of ∠pmn. m (c) name the sides of ∠1. mq and mp

Explanation:

Step1: Recall angle - naming convention

An angle can be named by the vertex in the middle and the two rays forming the angle. For ∠QMP, another name can be ∠2 (if the angle is labeled with a number) and ∠PMQ (re - naming with the vertex in the middle).

Step2: Identify vertex of an angle

The vertex of an angle is the common endpoint of the two rays that form the angle. For ∠PMN, the common endpoint of rays $\overrightarrow{PM}$ and $\overrightarrow{MN}$ is point M.

Step3: Identify sides of an angle

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

Answer:

(a) ∠2 and ∠PMQ
(b) M
(c) $\overrightarrow{MQ}$ and $\overrightarrow{MN}$