Question

consider these statements. 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 rule to given lines

Since $l$ and $m$ are parallel (from statement 1), by statement 2, they do not intersect.

Answer:

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