Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

naming points, lines, 1. use the diagram to the right to name the follo…

Question

naming points, lines, 1. use the diagram to the right to name the following. a) four collinear points. ________ b) a line that contains point m. ______ c) a line that contains points h and k. ______ d) another name for line q. ______ e) the intersection of lines p and r. ________

Explanation:

Response
Part (a)

Step1: Recall collinear points

Collinear points lie on the same line. From the diagram, points \( M \), \( N \), \( O \), \( P \) are on the same line (line \( p \)).

Step1: Identify line with \( M \)

Point \( M \) is on line \( p \) (which also has \( N \), \( O \), \( P \)). So a line containing \( M \) is line \( p \) (or \( \overleftrightarrow{MP} \), \( \overleftrightarrow{MO} \), etc., but the most direct is line \( p \) or using two points like \( \overleftrightarrow{MN} \)).

Step1: Find line with \( H \) and \( K \)

Points \( H \), \( N \), \( K \), \( I \) are on the same line (line \( r \)). So the line containing \( H \) and \( K \) is line \( r \) (or \( \overleftrightarrow{HK} \), \( \overleftrightarrow{HI} \), etc.).

Answer:

\( M \), \( N \), \( O \), \( P \)

Part (b)