Question

1. if x || y and y || z, then

x ⊥ a
x || z
a || b
a ⊥ z

Explanation:

In geometry, if two lines are parallel to a third - line, they are parallel to each other. Given \(x\parallel y\) and \(y\parallel z\), we can conclude that \(x\parallel z\) based on the transitive property of parallel lines. Also, from the figure, we can see that \(a\) and \(b\) are parallel lines. The other options \(x\perp a\), \(a\parallel b\) (correct but not the best answer based on the given parallel - line relationships), and \(a\perp z\) are not correct deductions from the given \(x\parallel y\) and \(y\parallel z\).

Answer:

\(x\parallel z\)