Question

1. if a ⊥ y and x ∥ y, then ____ a ⊥ z. x ∥ z a ∥ b. x ⊥ a.

Explanation:

Step1: Analyze perpendicular - parallel relationships

Given \(a\perp y\) and \(x\parallel y\). In a plane, if a line is perpendicular to one of two parallel lines, it is perpendicular to the other.
Since \(x\parallel y\) and \(a\perp y\), then \(a\perp x\).
Lines \(x\) and \(z\) are both perpendicular to the horizontal - like lines \(a\) and \(b\) respectively. Since \(x\) and \(z\) are both vertical - like lines in the same orientation, \(x\parallel z\).

Answer:

\(x\parallel z\)