Perpendicular/ Angle Bisector Theorem

Front

What is the Perpendicular Bisector Theorem?

Back

The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that the angle bisector of an angle divides the opposite side into two segments that are proportional to the lengths of the other two sides.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of the measures of two complementary angles is 90 degrees.

Front

If two angles are supplementary, what is the sum of their measures?

Back

The sum of the measures of two supplementary angles is 180 degrees.

Front

Find the measure of angle NJZ if it is complementary to angle KJL which measures 52 degrees.

Back

m∠NJZ = 90 - 52 = 38 degrees.

Front

Solve for x if angle KJL is 28 degrees and angle JKM is supplementary to angle KJL.

Back

x = 180 - 28 = 152 degrees.

Front

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

Back

The angles formed are corresponding angles, alternate interior angles, and alternate exterior angles, which are congruent.

Front

If angle A measures 45 degrees, what is the measure of angle B if they are vertical angles?

Back

Angle B also measures 45 degrees because vertical angles are congruent.

Front

What is the formula to find the length of a segment using the distance formula?

Back

Front

If the measure of angle A is 76 degrees, what is the measure of its complement?

Back

The complement of angle A is 90 - 76 = 14 degrees.