Geometry, Chapter 3.1, 3.2

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 are corresponding angles?

Back

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

Front

What is the equation to find the value of x when two parallel lines are cut by a transversal?

Back

The equation is formed by setting the sum of the angles equal to 180 degrees or by using the properties of corresponding, alternate interior, or alternate exterior angles.

Front

What does it mean for lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel. They exist in different planes.

Front

What is the value of x if two angles are complementary and one angle measures 45 degrees?

Back

The value of x is 45 degrees, since complementary angles add up to 90 degrees.

Front

What are alternate interior angles?

Back

Alternate interior angles are the pairs of angles on opposite sides of the transversal but inside the two lines. They are equal when the lines are parallel.

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

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

Back

The angles formed include corresponding angles, alternate interior angles, and alternate exterior angles, all of which have specific relationships (equal or supplementary) when the lines are parallel.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect, or if corresponding angles formed by a transversal are equal.

Front

What is the definition of a transversal?

Back

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