5.1 Angle/Perpendicular Bisectors

Front

What is an angle bisector?

Back

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

Front

What is a perpendicular bisector?

Back

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

Front

How do you find the length of a segment using the midpoint?

Back

The length of a segment can be found by using the distance formula or by subtracting the coordinates of the endpoints.

Front

What is the relationship between angle bisectors and triangle properties?

Back

The angle bisector of a triangle divides the opposite side into segments that are proportional to the adjacent sides.

Front

If AD = 8 and DC = 4, what is the length of AC?

Back

AC = AD + DC = 8 + 4 = 12.

Front

What is the measure of an angle if its bisector divides it into two angles of 29° each?

Back

The measure of the original angle is 29° + 29° = 58°.

Front

What is the definition of a median in a triangle?

Back

A median is a line segment from a vertex to the midpoint of the opposite side.

Front

How do you determine if a line is a perpendicular bisector?

Back

A line is a perpendicular bisector if it intersects a segment at its midpoint and forms right angles with the segment.

Front

What is the formula for finding the length of a segment given its endpoints (x1, y1) and (x2, y2)?

Back

Front

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

Back

The sum of two complementary angles is 90°.