Question

1. if a, b, c, and d are coplanar lines and a // b, b ⊥ c, and c // d, then which statement must be true? hint: draw a picture to help you solve it. d ⊥ a d ⊥ c c // a d // b

Explanation:

Step1: Analyze parallel - perpendicular relationships

Given \(a\parallel b\) and \(b\perp c\), then \(a\perp c\) (if one of two parallel lines is perpendicular to a third line, the other parallel line is also perpendicular to that third line).

Step2: Use the new relationship and given parallelism

Since \(a\perp c\) and \(c\parallel d\), then \(a\perp d\) (if a line is perpendicular to one of two parallel lines, it is perpendicular to the other).

Answer:

\(d\perp a\)