Geometry Transversals

Transversals

and Angle Pairs

What is a transversal?

It is a line that intersects at least two other lines.

Multiple Choice

What is a transversal?

• A line that intersects at least two other lines.

• A line that intersects another line.

• A line parallel to another line.

• A line that is skew to another line.

This is an example of an transversal intersecting two lines.

Multiple Select

Which image(s) represent(s) the definition of a transversal?

Corresponding Angles

Corresponding angles are angle that are in the same location but in different intersections.

Corresponding Angles

• Number one does not show corresponding angle. 

   $\angle\ Y$  is in the lower right  and $\angle X$  is in the upper left

• Number 2 shows corresponding angles.  $\angle X\ and\ \angle Y$  are in the upper left.

• Number three shows corresponding angles.  $\angle X\ and\ \angle Y$  are in the upper right.

• Number 4 does not show corresponding angles.  $\angle X\ and\ \angle Y$  are not in the same relative location.

Multiple Select

Which images represent corresponding angles?

Alternate Interior Angles

 $\angle1\ and\ \angle2\ are\ alternate\ interior\ angles.$  These angles are on alternate or opposite sides of the transversal and are inside lines m and n.

Alternate Exterior Angles

 $\angle1\ and\ \angle2\ are\ alternate\ exterior\ angles.$  These angles are on alternate or opposite sides of the transversal and are on the exterior of the parallel lines.

Multiple Select

Select the images that represent alternate interior angles.

Multiple Select

Select the images that show alternate exterior angles.

Consecutive Interior Angles

Consecutive interior angles are angles that are on the same side of a transversal but not in the same relative location. 

 $\angle3\ and\ \angle5$  are consecutive interior angles.

 $\angle4\ and\ \angle6$  are consecutive interior

Multiple Select

Zoom in on the picture. What angle are consecutive interior angles?

• $$\angle1\ and\ \angle4$$

• $$\angle3\ and\ \angle5$$

• $$\angle7\ and\ \angle8$$

• $$\angle4\ and\ \angle6$$