Angle relationships with Parallel Lines and a Transversal

Front

What is the definition of a transversal in geometry?

Back

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

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two lines.

Front

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

Back

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

Front

How do you find the value of an angle when given its relationship with other angles?

Back

Use the properties of angle relationships (such as supplementary, complementary, or congruent angles) to set up an equation and solve for the unknown angle.

Front

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

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

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

Back

The exterior angles are equal in measure when the lines are parallel.

Front

What is the equation to find the value of x when given two angles that are supplementary?

Back

If two angles are supplementary, their measures add up to 180 degrees, so the equation would be: angle1 + angle2 = 180.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect, and they are always equal.

Front

How can you determine if two lines are parallel using angle relationships?

Back

If a transversal creates equal corresponding angles or equal alternate interior angles, the lines are parallel.

Front

What is the definition of supplementary angles?

Back

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