P2: Properties of Parallel lines

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. They are equal in measure.

Front

What is the value of x if angle 2 is 47 degrees and angle 6 is x degrees?

Back

x = 133 degrees (since angle 2 and angle 6 are corresponding angles).

Front

If angle 5 is 23 degrees, what is the measure of angle 4?

Back

Angle 4 is also 23 degrees (since angle 4 and angle 5 are alternate interior angles).

Front

Which angles are alternate interior angles?

Back

Angles that are on opposite sides of the transversal and inside the two parallel lines.

Front

What is the relationship between consecutive interior angles?

Back

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

Front

If angle 1 is 90 degrees, what is the measure of angle 3?

Back

Angle 3 is also 90 degrees (since angle 1 and angle 3 are corresponding angles).

Front

What is the value of y if angle 7 is 119 degrees?

Back

y = 29 degrees (since angle 7 and angle 8 are supplementary).

Front

Identify a pair of vertical angles.

Back

Angle 1 and Angle 3 are vertical angles; they are opposite each other and equal in measure.

Front

What is the sum of the interior angles formed by two parallel lines and a transversal?

Back

The sum of the interior angles is 180 degrees.

Front

If angle 6 is 58 degrees, what is the measure of angle 8?

Back

Angle 8 is also 58 degrees (since angle 6 and angle 8 are corresponding angles).