Answer: intersecting but not perpendicular
Step-by-step explanation: Let's start by eliminating a few options.
First off, parallel lines are coplanar lines that do not intersect.
In the diagram shown, lines i and k do intersect
so option A doesn't make any sense.
We can also eliminate option C because by definition,
parallel lines do not intersect so we can cross this off.
We also can't conclude that lines i and k are perpendicular,
because we don't have a box at the vertex and from the
diagram shown, it doesn't look like they form a perfect right angle.
That leaves us with option D.
Notice that these two lines cross at a point.
When two lines cross at a point, we say that they intersect.
So they are intersecting lines but not perpendicular.