Parallel Line Geometry

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two different parallel lines cut by a transversal.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two parallel lines on opposite sides of a transversal.

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that lie outside two parallel lines on opposite sides of a transversal.

Front

If two parallel lines are cut by a transversal, what can be said about the angles formed?

Back

The angles formed will have specific relationships: corresponding angles are equal, alternate interior angles are equal, and same-side interior angles are supplementary.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If angle 1 is 110°, what is the measure of angle 2 if angle 1 and angle 2 are corresponding angles?

Back

Angle 2 is also 110° because corresponding angles are equal.

Front

If angle 3 is 45°, what is the measure of angle 4 if angle 3 and angle 4 are alternate interior angles?

Back

Angle 4 is also 45° because alternate interior angles are equal.

Front

What is the relationship between same-side interior angles when two parallel lines are cut by a transversal?

Back

Same-side interior angles are supplementary, meaning they add up to 180°.

Front

If angle 5 is 135°, what is the measure of angle 6 if angle 5 and angle 6 are same-side interior angles?

Back

Angle 6 is 45° because 135° + 45° = 180°.