# Definition:Transversal (Geometry)

## Contents

## 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.

### 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 $\angle DJF$