Parallel Lines Cut by a Transversal

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two parallel lines in relation to a transversal. They are equal in measure.

Front

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

Back

Alternate interior angles are equal when two parallel lines are cut by a transversal.

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles that are formed when two lines intersect. The angles are supplementary, meaning their measures add up to 180°.

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that lie outside the two parallel lines and on opposite sides of the transversal. They are equal in measure when the lines are parallel.

Front

How do you solve for an unknown angle when given relationships between angles?

Back

To solve for an unknown angle, use the relationships between angles (such as corresponding, alternate interior, or linear pairs) to set up equations based on their measures and solve for the variable.

Front

What is the sum of the measures of angles in a linear pair?

Back

The sum of the measures of angles in a linear pair is 180°.

Front

What is the definition of a transversal?

Back

A transversal is a line that intersects two or more lines at different points.

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 when two parallel lines are cut by a transversal, meaning their measures add up to 180°.

Front

How can you identify corresponding angles in a diagram?

Back

Corresponding angles can be identified by their positions; they are located in the same relative position at each intersection of the transversal with the parallel lines.

Front

What is the significance of angle relationships in geometry?

Back

Angle relationships help in solving problems involving parallel lines and transversals, allowing for the calculation of unknown angles and proving lines are parallel.