Question

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

Explanation:

Step1: Name ∠1

An angle can be named by its vertex and two points on its sides. For ∠1, the vertex is \( Q \). Two other names are \( \angle TQR \) (using points \( T, Q, R \)) and \( \angle RQT \) (order of points can be reversed as long as vertex \( Q \) is in the middle).

Step2: Name sides of ∠2

The sides of an angle are the two rays forming the angle. For \( \angle 2 \), the rays are \( \overrightarrow{QR} \) and \( \overrightarrow{QS} \).

Step3: Name vertex of \( \angle SQR \)

In the angle notation \( \angle SQR \), the middle letter represents the vertex. So the vertex is \( Q \).

Answer:

(a) \( \angle TQR \) and \( \angle RQT \)
(b) \( \overrightarrow{QR} \) and \( \overrightarrow{QS} \)
(c) \( Q \)