Proving Lines Parallel review

Front

What is the converse of the alternate interior angles theorem?

Back

If two lines are cut by a transversal and the alternate interior angles are equal, then the lines are parallel.

Front

What is the converse of the corresponding angles theorem?

Back

If two lines are cut by a transversal and the corresponding angles are equal, then the lines are parallel.

Front

What is the converse of the consecutive interior angles theorem?

Back

If two lines are cut by a transversal and the consecutive interior angles are supplementary, then the lines are parallel.

Front

What is the definition of alternate exterior angles?

Back

Angles that are on opposite sides of the transversal and outside the two lines.

Front

What is the definition of alternate interior angles?

Back

Angles that are on opposite sides of the transversal and between the two lines.

Front

What is the definition of corresponding angles?

Back

Angles that are in the same position on two parallel lines in relation to a transversal.

Front

What is the definition of consecutive interior angles?

Back

Angles that are on the same side of the transversal and between the two lines.

Front

If angle A and angle B are alternate interior angles and angle A = 70°, what is angle B?

Back

Angle B = 70° (because alternate interior angles are equal if the lines are parallel).

Front

If angle C and angle D are corresponding angles and angle C = 45°, what can we conclude about angle D?

Back

Angle D = 45° (because corresponding angles are equal if the lines are parallel).

Front

If two lines are cut by a transversal and the alternate exterior angles are equal, what can we conclude about the lines?

Back

The lines are parallel.