Question

which names are correct for $overrightarrow{fm}$? select each correct answer. $overrightarrow{mf}$ $overrightarrow{fp}$ $overrightarrow{fw}$ $overrightarrow{fd}$

Explanation:

Step1: Understand ray naming

A ray is named with its starting - point first. $\overrightarrow{FM}$ starts at point $F$ and extends through point $M$.

Step2: Analyze each option

• $\overrightarrow{MF}$ starts at $M$ and goes through $F$, so it's incorrect.
• $\overrightarrow{FP}$ starts at $F$ and goes through $P$. Since $P$ is between $F$ and $M$ on the line, $\overrightarrow{FP}$ is part of $\overrightarrow{FM}$, so it's correct.
• $\overrightarrow{FW}$ starts at $F$ and goes through $W$. Since $W$ is on the extension of $\overrightarrow{FM}$, $\overrightarrow{FW}$ contains $\overrightarrow{FM}$, so it's correct.
• $\overrightarrow{FD}$ starts at $F$ and goes through $D$. Since $D$ is between $F$ and $M$ on the line, $\overrightarrow{FD}$ is part of $\overrightarrow{FM}$, so it's correct.

Answer:

B. $\overrightarrow{FP}$, C. $\overrightarrow{FW}$, D. $\overrightarrow{FD}$