Parallel Lines and Transversals Retake

Front

What are parallel lines?

Back

Lines that never intersect and are always the same distance apart.

Front

What is a transversal?

Back

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

Front

What are same-side interior angles?

Back

Angles that are on the same side of the transversal and between the two lines.

Front

What is the relationship between same-side interior angles when lines are parallel?

Back

They are supplementary, meaning their measures add up to 180°.

Front

What are vertical angles?

Back

Angles that are opposite each other when two lines intersect.

Front

What is the relationship between vertical angles?

Back

Vertical angles are congruent, meaning they have equal measures.

Front

What are corresponding angles?

Back

Angles that are in the same position on two parallel lines in relation to a transversal.

Front

What is the relationship between corresponding angles when lines are parallel?

Back

They are congruent, meaning they have equal measures.

Front

If m∠1 = (7x + 13)° and m∠2 = (13x + 47)°, how do you find the measure of ∠2?

Back

Set up the equation (7x + 13) + (13x + 47) = 180 and solve for x.

Front

What is the measure of ∠2 if m∠1 = (7x + 13)° and m∠2 = (13x + 47)°?

Back

125°.