Perpendicular Bisector and 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 does it mean for a line to be a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

If point P lies on the perpendicular bisector of segment AB, what can be said about the distances PA and PB?

Back

PA = PB; point P is equidistant from points A and B.

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 segments that are proportional to the lengths of the other two sides.

Front

If angle A is bisected by line segment AD, what can be said about the segments BD and DC?

Back

The segments BD and DC are proportional to the lengths of sides AB and AC, respectively.

Front

How do you find the measure of an angle using the Angle Bisector Theorem?

Back

To find the measure of an angle using the Angle Bisector Theorem, set up a proportion based on the lengths of the sides adjacent to the angle.

Front

What is the relationship between angles formed by perpendicular lines?

Back

Angles formed by perpendicular lines are complementary, meaning they add up to 90 degrees.

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

What is the measure of an angle if its complement is 38 degrees?

Back

The measure of the angle is 52 degrees (90 - 38 = 52).

Front

If angle JKM measures 90 degrees, what type of angle is it?

Back

Angle JKM is a right angle.