Question

1. if ( ell parallel k ) and ( k parallel m ), then

( ell parallel m ).

( ell perp m ).

( k perp t ).

( m perp t ).

Explanation:

Step1: Use the property of parallel lines

If two lines are parallel (\(k\parallel l\parallel m\)) and a transversal intersects them. If \(l\perp k\) (assuming the right - angle relationship from the parallel - line and transversal properties, when a transversal is perpendicular to one of the parallel lines, it is perpendicular to all of them). Since \(k\parallel m\) and \(l\perp k\), by the property that if a line is perpendicular to one of two parallel lines, it is perpendicular to the other.

Answer:

\(\ell\perp m\)