1. Warm-Up #29 Tuesday, 5/3
Write an equation in slope intercept form for the points (3, -5) and (1, 3)
Look at the two diagrams for the length and missing variable.

2. Homework
Solve Angle Bisector Theorem Worksheet

3. Angle Bisector Theorem
If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.

4. Converse of the Angle Bisector Theorem
If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.

5. Using the Angle Bisector Theorem
What is the length of segment RM?
RM = RP
7x = 2x + 25
5x = 25
x = 5
RM = 7x
RM = 7 (5)
RM = 35

6. m<JKM= 38 degrees
SV=18
HG = 14
AD= 12
BC = 16
LM= 3
PQ = 5

7. Bisect Angle Draw an arc across each leg of the angle
Move the compass point to the intersection of one of the legs and arc.
Draw an arc in the interior of the angle.

8. Bisect Angle
Without changing the radius of the compass do the same on the other leg of the angle so the arcs intersect
Using a straight edge connect the vertex and intersection of the two arcs.

9. Bisect Angle- Solution