Parallel Lines Cut by a Transversal

What is the relationship between vertical angles?

• Vertical angles are always equal.

• Vertical angles are complementary.

• Vertical angles are supplementary.

• Vertical angles are never equal.

How do you find the value of x in angle relationships?

• Set up an equation based on the angle relationships and solve for x.

• Use a protractor to measure the angles directly.

• Add all the angles together and divide by the number of angles.

• Subtract the smallest angle from the largest angle.

What is a transversal?

• A line that intersects two or more lines at different points.

• A line that runs parallel to another line.

• A line that is perpendicular to a given line.

• A line that connects two points on a curve.

Define corresponding angles.

• Angles that are in the same position at each intersection where a transversal crosses two lines.

• Angles that are equal in measure and opposite each other when two lines intersect.

• Angles that add up to 90 degrees when a transversal crosses two parallel lines.

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

What is the significance of angle pairs in parallel lines cut by a transversal?

• They help in solving for unknown angles and understanding geometric properties.

• They are only relevant in triangles.

• They have no significance in geometry.

• They are used to calculate the area of circles.

What are Consecutive interior angles?

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

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

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

• Angles that are formed by two intersecting lines and a transversal.

If angle 4 is 110 degrees, what is the measure of angle 5 if lines are parallel?

• 70 degrees

• 80 degrees

• 90 degrees

• 100 degrees

What are parallel lines?

• Lines that intersect at a right angle.

• Lines in a plane that never meet and are always the same distance apart.

• Lines that converge at a point.

• Lines that are curved and do not follow a straight path.

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

• They are complementary (add up to 90 degrees).

• They are supplementary (add up to 180 degrees).

• They are equal (each angle is the same).

• They are not related.

What are alternate interior angles?

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

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

• Angles that are adjacent to each other and on the same line.

• Angles that are formed by two parallel lines and a transversal.