Question

If two lines ab,cd are perpendicular to the same line ef then ab and cd are

Answer 1

Answer:

AB and CD Will be Parellel.

Answer 2

Line AB and line CD are parallel to each other.

Step-by-step explanation:

Let the slope of line X is M and that of line AB is $m_{1}$ and that of line CD is $m_{2}$.

Now, if the line X and line AB are perpendicular to each other then, $Mm_{1} = - 1$

⇒ $m_{1} = - \frac{1}{M}$ .......... (1)

Again, if the line X and line CD are perpendicular to each other then, $Mm_{2} = - 1$

⇒ $m_{2} = - \frac{1}{M}$ ........... (2)

Therefore, from equations (1) and (2) we get,

$m_{1} = m_{2}$

Now, we know that if two straight lines have equal slopes then they are parallel to each other.

Therefore, line AB and line CD are parallel to each other. (Answer)