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6. if m || n and n ⊥ p, then n || p. m ⊥ p. m || p. n ⊥ m.

Question

  1. if m || n and n ⊥ p, then

n || p.

m ⊥ p.

m || p.

n ⊥ m.

Explanation:

Step1: Recall the perpendicular and parallel relationships

If \(m\parallel n\) (denoted as \(m\mid n\)) and \(n\perp p\).

Step2: Use the property of parallel lines and perpendicular lines

When a line is perpendicular to one of two parallel lines, it is perpendicular to the other. So if \(m\parallel n\) and \(n\perp p\), then \(m\perp p\).

Answer:

\(m\perp p\)