Question

identifying points and lines
the three collinear points on line m are
point is not on line m.
line(s) could be drawn through points p and x.

Explanation:

First Question: The three collinear points on line \( m \) are

Step1: Recall collinear points definition

Collinear points lie on the same line. Line \( m \) has points \( J \), \( K \), \( W \).

Step2: Identify points on line \( m \)

From the diagram, line \( m \) passes through \( J \), \( K \), and \( W \).

Second Question: Point \(\boldsymbol{\_\_}\) is not on line \( m \)

Step1: Check points not on line \( m \)

Points \( P \), \( X \), \( Y \) (but \( Y \) is on line \( s \), \( P \) and \( X \) are off line \( m \)). From options (implied: \( P \), \( X \), \( Y \), etc.), \( P \) (or \( X \), \( Y \)) is not on \( m \). Common answer: \( P \) (or \( X \), based on diagram; \( P \) is a dot not on \( m \)).

Third Question: \(\boldsymbol{\_\_}\) line(s) could be drawn through points \( P \) and \( X \)

Step1: Recall postulate (two points determine a line)

By the postulate, exactly one line passes through two distinct points.

Answer:

s:

1. \( J \), \( K \), \( W \)
2. \( P \) (or \( X \), \( Y \) – check diagram; \( P \) is typical)
3. One (or \( 1 \))