2024 Parallel lines and Transversals

Front

What are parallel lines?

Back

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

Front

What is a transversal?

Back

A transversal is a line that crosses at least two other lines in the same plane.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a transversal crosses two lines.

Front

What is the relationship between alternate interior angles?

Back

Alternate interior angles are equal when a transversal crosses two parallel lines.

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 same-side interior angles?

Back

Same-side interior angles are supplementary, meaning they add up to 180 degrees.

Front

What is the value of x if ∠1 = 3x + 15 and ∠2 = 5x - 5 are corresponding angles?

Back

x = 14.

Front

What is the measure of ∠6 if it is an alternate exterior angle to ∠3 which measures 55 degrees?

Back

∠6 = 55 degrees.

Front

If ∠ABC = 3x + 12 and ∠DEF = 2x + 30 are alternate interior angles, what is the value of x?

Back

x = 6.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines cross. They are always equal.