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

What is the Angle Bisector Theorem?

Back

The Angle Bisector Theorem states that the ratio of the lengths of the two segments created by an angle bisector is equal to the ratio of the lengths of the two sides of the angle.

Front

If a line segment is bisected, what does it mean?

Back

It means that the segment is divided into two equal parts.

Front

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

Back

You can find the length of a segment by using the distances from a point on the bisector to the endpoints of the segment, which will be equal.

Front

What is the relationship between angles formed by perpendicular lines?

Back

When two lines are perpendicular, they form four right angles (each measuring 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 it is bisected and the original angle is 80 degrees?

Back

The measure of each angle after bisecting an 80-degree angle is 40 degrees.

Front

How can you determine if two segments are congruent using the Angle Bisector Theorem?

Back

If the angle bisector divides the angle into two equal angles, then the segments opposite those angles are proportional to the lengths of the other two sides.

Front

What is the formula for finding the distance between two points in a coordinate plane?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

If the lengths of two sides of a triangle are 5 and 12, what is the maximum length of the third side?

Back

The maximum length of the third side must be less than the sum of the other two sides, so it must be less than 17.