Angle Relationships Assignment

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What are corresponding angles?

Back

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

Front

What are alternate interior angles?

Back

Alternate interior angles are the 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 alternate exterior angles?

Back

Alternate exterior angles are the pairs of angles that lie outside two lines and on opposite sides of a transversal. They are equal when the lines are parallel.

Front

If two parallel lines are cut by a transversal, what can be said about the sum of the interior angles on the same side of the transversal?

Back

The sum of the interior angles on the same side of the transversal is equal to 180 degrees.

Front

How do you find the measure of an unknown angle when given the measures of other angles formed by parallel lines and a transversal?

Back

Use the properties of angle relationships (like corresponding, alternate interior, and vertical angles) to set up equations and solve for the unknown angle.

Front

What is the relationship between the angles formed by a transversal intersecting two parallel lines?

Back

The angles formed have specific relationships: corresponding angles are equal, alternate interior angles are equal, and same-side interior angles are supplementary.

Front

If angle 4 is 70 degrees, what is the measure of angle 8 if lines are parallel?

Back

Angle 8 is also 70 degrees because they are corresponding angles.

Front

What is the measure of angle 7 if angle 3 is 50 degrees and the lines are parallel?

Back

Angle 7 is 50 degrees because they are alternate interior angles.

Front

If angle 1 is 30 degrees, what is the measure of angle 5?

Back

Angle 5 is 30 degrees because they are corresponding angles.