11D Angles formed by Parallel Lines and a Transversal

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two parallel lines. They are equal in measure.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are on the same side of the transversal and in corresponding positions relative to the parallel lines. They are equal in measure.

Front

If two parallel lines are cut by a transversal, what can be said about the angles formed?

Back

The angles formed have specific relationships: alternate interior angles are equal, corresponding angles are equal, and consecutive 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 degrees.

Front

If angle 6 is 25 degrees, what is angle 7 if they are corresponding angles?

Back

Angle 7 is also 25 degrees because corresponding angles are equal.

Front

If angle 6 is 25 degrees, what is angle 7 if they are alternate interior angles?

Back

Angle 7 is also 25 degrees because alternate interior angles are equal.

Front

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

Back

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

Front

If angle C is 116 degrees, what is the measure of its corresponding angle?

Back

The corresponding angle is also 116 degrees.

Front

What is the measure of angle D if angle C is 116 degrees and they are consecutive interior angles?

Back

Angle D is 64 degrees because consecutive interior angles are supplementary (180 - 116 = 64).

Front

How do you find the measure of an angle formed by parallel lines and a transversal?

Back

Identify the type of angle (alternate interior, corresponding, etc.) and use the properties of those angles to find the measure.