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 corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two parallel lines cut by a transversal.

Front

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

Back

Alternate exterior angles are congruent when two parallel lines are cut by a transversal.

Front

How do you solve for x when given alternate interior angles?

Back

Set the alternate interior angles equal to each other 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

Define 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 is the relationship between same-side interior angles when two parallel lines are cut by a transversal?

Back

Same-side 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 congruent.

Front

How can you identify corresponding angles in a diagram?

Back

Corresponding angles can be identified by their position; they are in the same relative position at each intersection.

Front

What is the significance of the angle relationships formed by a transversal?

Back

The angle relationships help determine whether lines are parallel and can be used to solve for unknown angles.