Question

$\stackrel{⟷}{AB},\stackrel{⟷}{BC},\stackrel{⟷}{CD}and\stackrel{⟷}{DA}$ are straight lines. Now consider the following figure:

How many transversals can be identified in the above figure?

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is D

4

A transversal is a line which intersects two lines at two distinct points.

Line $\stackrel{⟷}{AB}$ intersects the lines $\stackrel{⟷}{AD}and\stackrel{⟷}{BC}$ at A and B.

So $\stackrel{⟷}{AB}$ is a transversal.

Similarly, line $\stackrel{⟷}{AD}$ intersects the lines $\stackrel{⟷}{AB}and\stackrel{⟷}{DC}$ at A and D.

So $\stackrel{⟷}{AD}$ is a transversal.

Using the same reasonining, we can conclude that, lines $\stackrel{⟷}{CD}and\stackrel{⟷}{DA}$ are also transversals.

Hence there are 4 transversals in the given figure.