Question

question 2 of 8 (1 point) | question attempt: 1 of 3 (a) name the sides of ∠tqr. and (b) write two other names for ∠2. and (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 are $\overrightarrow{QT}$ and $\overrightarrow{QR}$.

Step2: Recall angle - naming rules

An angle can be named by the number assigned to it, by the vertex letter (when there is only one angle at that vertex), or by three - point naming (with the vertex in the middle). For $\angle2$ which has vertex $Q$, two other names are $\angle RQS$ and $\angle SQR$ (since the order of the non - vertex points in the three - point naming convention does not matter for the same angle).

Step3: Identify the vertex

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

Answer:

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