QUESTION IMAGE
Question
using the given figure, another name for line p is select
Step1: Recall line naming rule
A line can be named using two points on it.
Step2: Identify points on line \( p \)
Line \( p \) passes through points \( A \), \( E \), \( B \) (and extends as \( \mathcal{K} \)). So another name can be line \( AB \), line \( AK \), line \( BA \), line \( KA \), line \( AE \), line \( EA \), line \( EB \), line \( BE \), etc. (Looking at the figure, common points are \( A \) and \( B \) or \( A \) and \( \mathcal{K} \), but from the labeled points \( A \), \( E \), \( B \) on line \( p \) (with \( \mathcal{K} \) as the ray but line extends), so line \( AK \) (or line \( AB \), line \( AE \) etc. But typically using two distinct points, so line \( AB \) or line \( AK \) (since \( \mathcal{K} \) is on the line). Wait, the line \( p \) has points \( A \), \( E \), \( B \), and the ray going to \( \mathcal{K} \), so the line can be named using any two points on it, like line \( AB \), line \( AK \), line \( BA \), line \( KA \), line \( AE \), line \( EA \), line \( EB \), line \( BE \). But from the figure, the line \( p \) is the same as line \( AK \) (since \( A \) and \( B \) (with \( \mathcal{K} \) direction) – actually, the line passes through \( A \), \( E \), \( B \), so another name is line \( AB \) (or line \( AK \) as \( \mathcal{K} \) is on the line). Wait, the standard way is to use two points on the line. So line \( p \) can be named as line \( AB \), line \( AK \), line \( BA \), line \( KA \), etc. Looking at the figure, the line \( p \) has points \( A \), \( E \), \( B \), so another name is line \( AB \) (or line \( AK \) since \( \mathcal{K} \) is on the line). So the correct name would be line \( AB \) (or line \( AK \), but let's check the points: \( A \) and \( B \) are on line \( p \), so line \( AB \) (or line \( AK \) as \( \mathcal{K} \) is the other end). So the answer is line \( AB \) (or line \( AK \), but from the figure, \( A \) and \( B \) are marked, so line \( AB \)).
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Line \( AB \) (or Line \( AK \), Line \( BA \), Line \( KA \), etc. – most appropriately Line \( AB \) or Line \( AK \) based on the figure's points)