Transversals

Front

What is a transversal in geometry?

Back

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

Front

What are parallel lines?

Back

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

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.

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.

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 x in angle relationships?

Back

You can set up equations based on the relationships between angles (e.g., equal angles, supplementary angles) and solve for x.

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 consecutive interior angles when two parallel lines are cut by a transversal?

Back

Consecutive interior angles are supplementary, meaning they add up to 180 degrees.

Front

What is the definition of vertical angles?

Back

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

Front

What is the significance of angle pairs in solving for unknown angles?

Back

Understanding angle pairs (like alternate interior, corresponding, and vertical angles) helps in setting up equations to solve for unknown angles.