Parallel Lines Cut by A Transversal Lecture

Parallel Lines Cut By A Transversal

Interior Angles

These are the four angles formed between the lines x and y. In the figure, these are

 $\angle C,\ \angle D,\ \angle E,\$  and  $\angle F.$  

Exterior Angles

These are the four angles formed that lie outside the lines x and y. In the figure, these are  $\angle A,\ \angle B,\ \angle G,$ and  $\angle H.\$  

Alternate Interior Angles

These are two interior angles that lie on opposite sides of a transversal. In the figure, these are angle pairs  $\angle C$  and  $\angle F$  and  $\angle D$ and  $\angle E.\$  

Alternate Exterior Angles

These are two exterior angles that lie on opposite sides of the transversal. In the figure, these are  $\angle A$ and $\angle H$ and  $\angle B$ and  $\angle G.$  

Corresponding Angles

These are two angles, one interior and the other exterior, on the same side of the transversal. The pairs of corresponding angles $\angle A$ and $\angle E,$  $\angle B$ and $\angle F,$  $\angle C$ and  $\angle G,$  and  $\angle D$ and  $\angle H.$ 

Vertical Angles

These are the opposite angles formed when two lines intersect. In the figure, these are 

 $\angle A$ and  $\angle D,$  $\angle B$ and  $\angle C,$  $\angle E$ and  $\angle H,$ and  $\angle F$ and  $\angle G.$