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17) name the intersection of plane w and \\(overleftrightarrow{ps}\\) _…

Question

  1. name the intersection of plane w and \\(overleftrightarrow{ps}\\) ______
  2. do \\(overleftrightarrow{ps}\\) and \\(overleftrightarrow{qr}\\) intersect? explain your answer.
  3. name the intersection of line \\(l\\) and \\(overleftrightarrow{pq}\\) ______

vocabulary. fill in the blanks with the best words or phrases (used exactly once) from the word bank.
#17 - 19 diagram with plane w, points p, s, t, q, r, line l

Explanation:

Response
Problem 17: Name the intersection of plane \( W \) and \( \overleftrightarrow{PS} \)
Brief Explanations

To find the intersection of a plane and a line, we look for the point where the line lies on the plane. From the diagram, line \( \overleftrightarrow{PS} \) intersects plane \( W \) at point \( T \). So the intersection of plane \( W \) and \( \overleftrightarrow{PS} \) is point \( T \).

Brief Explanations

Two lines intersect if they share a common point. From the diagram, \( \overleftrightarrow{PS} \) and \( \overleftrightarrow{QR} \) meet at point \( T \). So they do intersect at point \( T \).

Brief Explanations

To find the intersection of two lines, we identify their common point. From the diagram, line \( l \) and \( \overleftrightarrow{PQ} \) intersect at point \( Q \). So the intersection is point \( Q \).

Answer:

Point \( T \)

Problem 18: Do \( \overleftrightarrow{PS} \) and \( \overleftrightarrow{QR} \) intersect? Explain your answer.