Question

naming angles, sides of angles, and vertices
(a) name the sides of ∠abc.
ba and bc
(b) write two other names for ∠2.
∠cbd and ∠b
(c) name the vertex of ∠1.
b

Explanation:

Step1: Naming sides of an angle

An angle is formed by two rays. For \(\angle ABC\), the rays (sides) are \(BA\) and \(BC\).

Step2: Naming an angle by its vertex and other points

For \(\angle2\), when naming an angle, we can use three - letter notation (\(\angle CBD\), where \(B\) is the vertex) or if there is only one angle at the vertex \(B\) (in the context of \(\angle2\)), we can use the vertex letter \(\angle B\).

Step3: Identifying the vertex of an angle

The vertex of an angle is the common endpoint of the two rays forming the angle. For \(\angle1\), the common endpoint of the two rays (sides) is \(B\).

Answer:

(a) \(BA\) and \(BC\)
(b) \(\angle CBD\) and \(\angle B\)
(c) \(B\)