Question

1. line p is parallel to line k in the figure shown below. which statement about the lines in the figure is true? oa line k is parallel to line m. ob line m is parallel to line j. oc line p is perpendicular to line k. od line j is perpendicular to line p.

Explanation:

Step1: Recall parallel and perpendicular line properties

Parallel lines never intersect. Perpendicular lines intersect at a right - angle (\(90^{\circ}\)).

Step2: Analyze each option

• Option A: Line \(k\) and line \(m\) are not parallel as they intersect.
• Option B: Line \(m\) and line \(j\) are not parallel as they intersect.
• Option C: Line \(p\) and line \(k\) are parallel (given), not perpendicular.
• Option D: Since line \(p\parallel k\) and line \(j\perp k\) (from the right - angle symbol), by the property that if a line is perpendicular to one of two parallel lines, it is perpendicular to the other. So line \(j\perp p\).

Answer:

D. Line \(j\) is perpendicular to line \(p\).