Parallel Lines and a Transversal

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What is the relationship between linear pairs of angles?

Back

Linear pairs of angles are two adjacent angles that form a straight line. They are supplementary, meaning their measures add up to 180 degrees.

Front

How do you find the measure of an angle when given expressions for other angles?

Back

Set up an equation based on the relationships between the angles (e.g., vertical angles are equal, or angles on a straight line sum to 180 degrees) and solve for the variable.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What is the measure of angle 1 if it is given as 3x - 4 and angle 3 is 5x - 38, and angle 4 is 133 degrees?

Back

To find angle 1, set up the equation based on the relationships and solve for x, then substitute back to find the measure of angle 1.

Front

What is the relationship between angles A and C if they are supplementary?

Back

If angles A and C are supplementary, their measures add up to 180 degrees.

Front

What is a transversal?

Back

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

Front

What are corresponding angles?

Back

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

Front

What are alternate interior angles?

Back

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

Front

What are alternate exterior angles?

Back

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