Properties of Parallel Lines

Front

What is a Linear Pair?

Back

A Linear Pair consists of two adjacent angles that are formed when two lines intersect. The sum of the angles in a linear pair is always 180 degrees.

Front

What is the relationship of Alternate Interior Angles?

Back

Alternate Interior Angles are pairs of angles that are on opposite sides of a transversal and inside the two lines. If the lines are parallel, these angles are equal.

Front

What are Corresponding Angles?

Back

Corresponding Angles are pairs of angles that are in the same position on two different parallel lines cut by a transversal. If the lines are parallel, these angles are equal.

Front

Define Same Side Interior Angles.

Back

Same Side Interior Angles are pairs of angles that are on the same side of the transversal and inside the two lines. If the lines are parallel, these angles are supplementary (add up to 180 degrees).

Front

What are Vertical Angles?

Back

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

Front

If angle 5 is 70 degrees, what is angle 6 if they form a linear pair?

Back

Angle 6 is 110 degrees because linear pairs are supplementary.

Front

How do you solve for x in the equation 3x + 5 = 20?

Back

x = 5, by isolating x: 3x = 15, then x = 15/3.

Front

What is the measure of angle 3 if angle 1 is 65 degrees and they are corresponding angles?

Back

Angle 3 is also 65 degrees because corresponding angles are equal when lines are parallel.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

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

Back

Alternate Exterior Angles are equal when the lines are parallel.