Question

1. if ( a perp b ) and ( b parallel c ), then ____

( a perp c ).
( a parallel c ).
( a parallel b ).
( b perp c ).

Explanation:

Step1: Analyze the relationship between lines

Given \(a\perp b\) (line \(a\) is perpendicular to line \(b\)) and \(b\parallel c\) (line \(b\) is parallel to line \(c\)).

Step2: Use the property of perpendicular and parallel lines

If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other parallel line. So, since \(a\perp b\) and \(b\parallel c\), we can conclude that \(a\perp c\).

Answer:

\(a\perp c\)