5-2 Perpendicular & Angle Bisectors

48

<ACB=96, Find <ACP.

20

<ACP=20. What is <BCP?

4

<ACP=4x+9, PCB=25. Find x.

12

<ACP=5x-20, <BCP=3x+4. Find x.

Angle Bisector

A line, segment, or ray that divides an angle into two congruent angles.

Perpendicular Bisector

A segment, ray, line, or plane that intersects a segment at its midpoint and creates a 90° angle.

7

AP=x+5, BP=2x+3. Find AP.

32

Find BC

12.8

Find LM

19.8

Find PR

7.3

Find each measure. YW

56

Find m<ABD, given that m<ABC = 112 degrees.

68

Find m<TSU

Converse of the Angle Bisector Theorem

If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle.

Converse of the Perpendicular Bisector Theorem

If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

Angle Bisector Theorem

If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.

Perpendicular Bisector Theorem

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.