More with New Angles

More with New Angles

This lesson expands on the concepts or alternate interior angles, alternate exterior angles, corresponding angles and consecutive interior angles.

More complex figures and diagrams

• The figure to the right has two sets of intersecting lines.

• The two sets of intersecting lines form four intersections.

Corresponding Angles

• The following are pairs of corresponding angles . These examples only show some of the corresponding angles in the figure. 

•  $\angle1\ and\ \angle13$  

•  $\angle1\ and\ \angle5$  

•  $\angle16\ and\ \angle4$  

•  $\angle16\ and\ \angle12$  

Alternate Interior Angles

• The following are alternate interior angle examples. These examples only show some of the alternate interior angles in the figure.

•  $\angle2\ and\ \angle8$  These angles are Alt. Int. angles because they are on the interior of lines a and b and are on alternate sides of transversal d.

•  $\angle3\ and\ \angle13$  These angles are alt/ int. angles because they are in the interior of lines d and c and are on opposite sides of transversal a.

•  $\angle5\ and\ \angle15$  These angles are NOT alternate interior because they are NOT on the same transversal.

Alternate Exterior Angles

• The following are alternate exterior angle examples. These examples only show some of the alternate exterior angles in the figure.

•  $\angle2\ and\ \angle16$  These are alternate exterior angles because they are on the exterior of lines d and c and are on alternate sides of transversal a.

•  $\angle6\ and\ \angle12$  These alternate exterior angles because they are on the exterior of lines d and c and are on alternate sides of transversal b.

•  $\angle6\ and\ \angle16$  These angles are not alternate exterior angles because they are not on the same transversal.

Consecutive Interior Angles

•  $\angle3\ and\ \angle14$  These angles are consecutive interior angles. They are on the same side of transversal a and they are on the interior of lines a and b.

•  $\angle8\ and\ \angle9$  These angles are consecutive interior angles. They are on the same side of transversal b and are in the interior of lines d and c.

Multiple Select

Select the Corresponding Angles.

• $\angle1\ and\ \angle3$

• $\angle1\ and\ \angle13$

• $\angle8\ and\ \angle12$

• $\angle5\ and\ \angle16$

Multiple Select

Select the alternate exterior angles.

• $\angle16\ and\ \angle2$

• $\angle2\ and\ \angle8$

• $\angle1\ and\ \angle11$

• $\angle12\ and\ \angle6$

Multiple Select

Select the alternate interior angles.

• $\angle8\ and\ \angle10$

• $\angle4\ and\ \angle14$

• $\angle16\ and\ \angle6$

• $\angle11\ and\ \angle1$

Open Ended

List three sets of consecutive interior angles.