Angle Theorem Card Review

Can you identify angle theorems and their properties on a transversal?

Corresponding angles are angles that share the same side of the transversal—one is interior and the other is exterior.

How can you identify corresponding angles?

Corresponding angles are congruent (equal).

What property do corresponding angles have?

<1 and <5 are corresponding, thus they are equal. <2 and <6 are corresponding thus they are equal. <3 <7 are corresponding thus they are equal. <4 and <8 are corresponding thus they are equal.

Identify the corresponding angles on the transversal

Alternate interior angles are angles inside the two parallels on separate sides of the transversal.

What are alternate interior angles?

Alternate interior angles are congruent to each other (equal).

What properties do alternate interior angles have?

The alternate interior angles are <3 and <8, thus they are congruent. And <4 and <5, this pair is congruent.

Identify the alternate interior angles on the transversal

Alternate exterior angles are angles that are outside the two parallels on opposite sides of the transversal.

What are alternate exterior angles

Same side interior angles are angles within the parallels on the same side of the transversal

What are same side interior angles?

Same side interior angles are supplemental, meaning they add up to 180.

What properties do same side interior angles have?

Identify the same side interior angles on the transversal

<3 and <5 are same side interior angles, thus these two angles add to 180. <4 and <6 are same side interior angles, thus these two angles add to 180.

Same side exterior angles are angles outside the two parallels on the same side of the transversal.

What are same side exterior angles?

Same side exterior angles are supplemental, meaning they add to 180.

What properties do same side exterior angles have?

Identify the same side exterior angles on the transversal

<1 and <7 are same side exterior angles, meaning they add to 180. <2 and <8 are same side exterior angles, meaning they add to 180.