Proving lines are parallel using angles

Front

What are parallel lines?

Back

Lines that never intersect and are always the same distance apart.

Front

What are corresponding angles?

Back

Angles that are in the same position on two parallel lines cut by a transversal.

Front

What are alternate interior angles?

Back

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

Front

What condition proves that two lines are parallel using corresponding angles?

Back

If the corresponding angles are congruent, then the lines are parallel.

Front

What condition proves that two lines are parallel using alternate interior angles?

Back

If the alternate interior angles are congruent, then the lines are parallel.

Front

If angle 1 is 108 degrees, what can be inferred about angle 2 if lines s and t are parallel?

Back

Angle 2 must also be 108 degrees if it is a corresponding angle.

Front

If angle 1 is 72 degrees, what can be inferred about angle 3 if lines u and v are parallel?

Back

Angle 3 must be 108 degrees if it is an alternate interior angle.

Front

What is the relationship between angle pairs when two lines are cut by a transversal?

Back

The relationships include corresponding angles, alternate interior angles, and same-side interior angles.

Front

How can you identify parallel lines using angle measures?

Back

By checking if corresponding angles or alternate interior angles are congruent.

Front

What is the significance of angle congruence in proving lines are parallel?

Back

Angle congruence indicates that the lines do not intersect and maintain a constant distance apart.