Question

State true or false:

Two lines that are respectively perpendicular to two intersecting lines, always intersect each other.

• A. True
• B. False

Answer 1

The correct option is A True

Let $n$ and $p$ be two intersecting lines

$l$ is perpendicular to $n$ and $m$ is perpendicular to $p$

Let $n$ and $p$ be two intersecting lines. Let us assume that $l$ and $m$ do not intersect.

$l$ perpendicular to $n;l||m$ and $m$ is perpendicular to $p$

$\therefore$ The statement is true. $l$ and $m$ intersect