Definition:Transversal (Geometry)

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Definition

A transversal of two lines lying in the same plane is a line which intersects them in two different points.

The transversal is said to cut the two lines that it crosses.

Alternate Interior Angles.png

Interior Angles

Interior angles are the angles which are between the two lines cut by a transversal.

In the above figure, the interior angles with respect to the transversal $EF$ are:

$\angle AHJ$
$\angle CJH$
$\angle BHJ$
$\angle DJH$


Exterior Angles

Exterior angles are the angles which are not between the two lines cut by a transversal.

In the above figure, the exterior angles with respect to the transversal $EF$ are:

$\angle AHE$
$\angle CJF$
$\angle BHE$
$\angle DJF$


Alternate Interior Angles

Alternate interior angles are the angles which are between two lines cut by a transversal, on opposite sides and different lines.

In the above figure, the pairs of alternate interior angles with respect to the transversal $EF$ are:

$\angle AHJ$ and $\angle DJH$
$\angle CJH$ and $\angle BHJ$


Corresponding Angles

Corresponding angles are the angles in equivalent positions on the two lines cut by a transversal with respect to that transversal.

In the above figure, the corresponding angles with respect to the transversal $EF$ are:

$\angle AHJ$ and $\angle CJF$
$\angle AHE$ and $\angle CJH$
$\angle BHE$ and $\angle DJH$
$\angle BHJ$ and $\angle DJF$


Also see