Question

If $JK$ perpendicular $LM$ which statement is true.

• A. $JK$ and $LM$ are not in the same plane
• B. $JK$ and $LM$ meet at a $90°$ angle
• C. .$JK$ and $LM$ meet at a $45°$ angle
• D. $JK$ and $LM$ are coplanar and do not intersect

Answer 1

The correct option is B

$JK$ and $LM$ meet at a $90°$ angle

Explanation for the correct option:

Option $\left(B\right)$:

$JK$ and $LM$ meet at a $90°$ angle.

It is given line $JK$ is perpendicular to line $LM$.

Two lines are said to be perpendicular if they meet each other at $90°$ angle.

So, $JK$ and $LM$ meet at a $90°$ angle.

Hence, option $\left(B\right)$ is correct.

Explanation for the incorrect options:

Option $\left(A\right)$:

$JK$ and $LM$ are not in the same plane.

It is given line $JK$ is perpendicular to line $LM$.

We know that two perpendicular lines lie in the same plane and make four angles each of measure $90°$.

So $JK$ and $LM$ are in the same plane.

Hence, option $\left(A\right)$ is incorrect.

Option $\left(C\right)$:

$JK$ and $LM$ meet at a $45°$ angle.

It is given line $JK$ is perpendicular to line $LM$.

Two lines are said to be perpendicular if they meet each other at $90°$ angle.

So, $JK$ and $LM$ don't meet at a $45°$ angle.

Hence, option $\left(C\right)$ is incorrect.

Option $\left(D\right)$:

$JK$ and $LM$ are coplanar and do not intersect.

It is given line $JK$ is perpendicular to line $LM$.

We know that two perpendicular lines are coplanar and intersect at a $90°$ angle.

So, $JK$ and $LM$ meet each other.

Hence, Option $\left(D\right)$ is incorrect.

Hence, option $\left(B\right)$ is correct option.