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.

Front

What is a transversal?

Back

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

Front

What is the relationship of vertical angles?

Back

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

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. They are equal when the lines are parallel.

Front

What are same side interior angles?

Back

Same side interior angles are pairs of angles that lie between two lines and on the same side of a transversal. They are supplementary when the lines are parallel.

Front

If m∠1 = 27°, what is m∠2 if lines are parallel?

Back

m∠2 = 27° (corresponding angles are equal).

Front

If m∠1 = 27°, what is m∠3 if lines are parallel?

Back

m∠3 = 153° (same side interior angles are supplementary).

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°.

Front

How do you find the value of x in angle relationships?

Back

Set up an equation based on the relationships of the angles (e.g., equal or supplementary) and solve for x.

Front

What is the relationship of corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a transversal crosses two lines. They are equal when the lines are parallel.