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which names are correct for \\( \overrightarrow { p m } \\) ?
select each correct answer.
\\( \square \overrightarrow { p t } \\)
\\( \square \overrightarrow { p y } \\)
\\( \square \overrightarrow { m p } \\)
\\( \square \overrightarrow { t m } \\)

Explanation:

Step1: Recall the definition of a ray

A ray has one endpoint and extends infinitely in one direction. The notation \(\overrightarrow{XY}\) means the ray starts at \(X\) and goes through \(Y\) and beyond.

Step2: Analyze \(\overrightarrow{PT}\)

For \(\overrightarrow{PT}\), the ray starts at \(P\) and goes through \(T\) (and since \(M\) is further along the same line - as per the order \(P - T - Y - M\) on the line), \(\overrightarrow{PT}\) is part of \(\overrightarrow{PM}\) but is not the same as \(\overrightarrow{PM}\) because \(\overrightarrow{PT}\) stops at \(T\) (in terms of the naming convention, a ray is named by its starting point and another point on the ray. \(\overrightarrow{PT}\) has a different 'end - point' (in the naming sense) than \(\overrightarrow{PM}\)).

Step3: Analyze \(\overrightarrow{PY}\)

For \(\overrightarrow{PY}\), the ray starts at \(P\) and goes through \(Y\) (and \(M\) is further along the same line). Since a ray is named by its starting point and another point on the ray, and \(Y\) and \(M\) are on the same ray starting at \(P\), \(\overrightarrow{PY}\) and \(\overrightarrow{PM}\) represent the same ray.

Step4: Analyze \(\overrightarrow{MP}\)

For \(\overrightarrow{MP}\), the ray starts at \(M\) and goes through \(P\) in the opposite direction of \(\overrightarrow{PM}\). So \(\overrightarrow{MP}
eq\overrightarrow{PM}\).

Step5: Analyze \(\overrightarrow{TM}\)

For \(\overrightarrow{TM}\), the ray starts at \(T\) and goes through \(M\). The starting point of \(\overrightarrow{PM}\) is \(P\), and the starting point of \(\overrightarrow{TM}\) is \(T\). So \(\overrightarrow{TM}
eq\overrightarrow{PM}\).

Answer:

\(\overrightarrow{PY}\)