Question

example 1: find segment lengths
how can you find the length of segment cd?

1. select all that apply:

the angle above can be denoted...
∠3
∠kjg
∠j
∠gjk

Explanation:

Step1: Identify coordinates

The coordinate of point C is 1 and the coordinate of point D is 4.

Step2: Use distance formula for one - dimensional case

The length of segment CD is given by \(|4 - 1|\).

Step3: Calculate the length

\(4-1=3\).

An angle can be named using three points where the middle point is the vertex of the angle. Also, if there is only one angle at a vertex, it can be named by the vertex alone. Here, the vertex is J, and the rays are \(\overrightarrow{JK}\) and \(\overrightarrow{JG}\). So, the angle can be named as \(\angle KJG\) or \(\angle GJK\). If there are multiple angles at vertex J, we cannot name it just \(\angle J\). And there is no indication that the angle can be named \(\angle3\) from the given information.

Answer:

The length of segment CD is 3 units.

For the angle - naming part: