Parallel Lines Cut by a Transversal (With Algebra)

What are parallel lines?

• Lines that meet at a point

• Lines that never meet or intersect and are always the same distance apart

• Lines that curve away from each other

• Lines that are perpendicular to each other

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

• 90°

• 180°

• 360°

• 120°

What is a transversal?

• A line that crosses at least two other lines.

• A type of angle formed by two intersecting lines.

• A line that runs parallel to another line.

• A segment that connects two points on a line.

If two angles are supplementary and one angle measures 95°, what is the measure of the other angle?

• 75°

• 85°

• 90°

• 95°

Solve for x: If 2x + 30 = 90, what is x?

• 20

• 25

• 30

• 35

If angle A is 110°, what is the measure of angle B if angle B is its alternate interior angle?

• Angle B is 90°

• Angle B is 110°

• Angle B is 130°

• Angle B is 180°

How do you find the measure of an angle formed by a transversal?

• Use the relationships between the angles based on whether the lines are parallel.

• Measure the angle directly with a protractor.

• Add the angles formed by the transversal to get the total measure.

• Subtract the angle from 180 degrees to find its complement.

What is the relationship between the angles formed when two parallel lines are cut by a transversal?

• Corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.

• All angles formed are equal to 90 degrees.

• Only corresponding angles are equal, while alternate interior angles are not necessarily equal.

• Consecutive interior angles are always equal.

What are corresponding angles?

• Pairs of angles that are in similar positions at each intersection where a transversal crosses two lines.

• Angles that are always equal regardless of the lines' orientation.

• Angles that are supplementary to each other when a transversal crosses two lines.

• Angles that are formed by the intersection of two parallel lines.

If angle C is 135°, what is the measure of the consecutive interior angle on the same side of the transversal?

• 45°

• 55°

• 60°

• 75°