QUESTION IMAGE
Question
- choose the correct answer.
which lines are concurrent?
\\( \overleftrightarrow { m q } \\) and \\( \overleftrightarrow { p t } \\)
\\( \overleftrightarrow { r s } \\) and \\( \overleftrightarrow { p t } \\)
\\( \overleftrightarrow { r s } \\) and \\( \overleftrightarrow { o s } \\)
\\( \overleftrightarrow { r s } \\) and \\( \overleftrightarrow { m q } \\)
Step1: Recall the definition of concurrent lines
Concurrent lines are lines that pass through the same point.
Step2: Analyze each option
- For \(\overleftrightarrow{MQ}\) and \(\overleftrightarrow{PT}\): These lines are parallel (since \(MQ\perp QA\) and \(PT\perp PA\) and \(QA\parallel PA\) in the cube - like structure), so they do not intersect.
- For \(\overleftrightarrow{RS}\) and \(\overleftrightarrow{PT}\): These lines are skew (not parallel and not intersecting in 3 - D space).
- For \(\overleftrightarrow{RS}\) and \(\overleftrightarrow{OS}\): These lines intersect at point \(S\).
- For \(\overleftrightarrow{RS}\) and \(\overleftrightarrow{MQ}\): These lines are parallel (since \(MQ\) and \(RS\) are both perpendicular to the vertical edges of the cube - like structure in their respective planes).
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\(\overleftrightarrow{RS}\) and \(\overleftrightarrow{OS}\)