HWU4L5 Perpendicular 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

Define an angle bisector.

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Front

How do you find the length of a segment using the Perpendicular Bisector Theorem?

Back

To find the length of a segment using the Perpendicular Bisector Theorem, identify the midpoint and use the distance formula to calculate the lengths from the midpoint to each endpoint.

Front

If two angles are bisected, what can be said about their measures?

Back

If two angles are bisected, the measures of the two resulting angles are equal.

Front

What is the relationship between the angles formed by a perpendicular bisector and the original segment?

Back

The angles formed by a perpendicular bisector and the original segment are right angles (90 degrees).

Front

How can you determine if a point lies on the perpendicular bisector of a segment?

Back

A point lies on the perpendicular bisector of a segment if it is equidistant from the endpoints of the segment.

Front

What is the measure of an angle if it is bisected and the original angle is 80 degrees?

Back

If an angle is bisected and the original angle is 80 degrees, each of the resulting angles measures 40 degrees.

Front

Find x if the angles formed by the bisector are 2x and 3x. What is x?

Back

Set up the equation: 2x + 3x = 80. Solving gives x = 16.

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back