Question

1. line / is parallel to line m.
2. if two lines are parallel, then they do not intersect.

which conclusion can be drawn from these statements using deductive reasoning?
a / and m cannot be in the same plane.
b all lines are parallel.
c line / intersects line m.
d line / does not intersect line m.

Explanation:

Step1: Identify given statements

Statement 1: Line $l$ is parallel to line $m$. Statement 2: If two lines are parallel, then they do not intersect.

Step2: Apply deductive reasoning

Since $l$ is parallel to $m$ (from statement 1) and parallel lines do not intersect (from statement 2), we can conclude that line $l$ does not intersect line $m$.

Answer:

D. Line $l$ does not intersect line $m$.