Question

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

Explanation:

Step1: Recall parallel - line transitive property

Parallelism of lines is transitive. That is, if line \(a\) is parallel to line \(b\) and line \(b\) is parallel to line \(c\), then line \(a\) is parallel to line \(c\).

Step2: Apply the property to given lines

Given \(X\parallel Y\) and \(Y\parallel Z\), by the transitive property of parallel lines, we can conclude that \(X\parallel Z\).

Answer:

C. \(X\parallel Z\)