Parallel Lines Cut by 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 measure of angle C if it is given as 116°?

Back

m∠C = 116°.

Front

What is the relationship of alternate exterior angles?

Back

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

Front

What are alternate interior angles?

Back

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

Front

How do you find the value of x if angle 4 is expressed as x + 15 and angle 2 as 3x - 5?

Back

Set the expressions equal to each other: x + 15 = 3x - 5. Solving gives x = 10.

Front

What is a transversal in geometry?

Back

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

Front

What is the sum of the interior angles on the same side of a transversal?

Back

The sum of the interior angles on the same side of a transversal is supplementary, meaning they add up to 180°.

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 when the lines are parallel.

Front

What is the relationship between consecutive interior angles?

Back

Consecutive interior angles are supplementary when the lines are parallel, meaning they add up to 180°.

Front

What is the definition of parallel lines?

Back

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