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3. if a || b and b ⊥ y, then x ⊥ a. a ⊥ y. a || y. x || y.

Question

  1. if a || b and b ⊥ y, then

x ⊥ a.
a ⊥ y.
a || y.
x || y.

Explanation:

Step1: Recall the property of parallel lines and perpendicularity

If two lines are parallel (\(a\parallel b\)) and one of them (\(b\)) is perpendicular to a third line (\(y\)), then the other parallel line (\(a\)) is also perpendicular to that third line (\(y\)). This is based on the theorem: If \(m\parallel n\) and \(n\perp p\), then \(m\perp p\).

Answer:

\(a\perp y\)