1. Warm-Up #28 Monday 5/2
Write an equation in slope intercept form with these two points: (2, 4) and (0, -6).
Given f(x)= f(x-1) +3 and f(0) = 6, find f(2).
Find x 30

2. homework
Perpendicular Bisector Worksheet

3. Perpendicular Bisector Theorem

4. A point is equidistant from two objects if it is the same distance from the objects.

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

6. 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.

7. Using the Perpendicular Bisector Theorem
What is the length of segment AB?
BA = BC
4x = 6x – 10
-2x = -10
x = 5
AB = 4x
AB = 4 (5)
AB = 20

8. Example
Solve for x

9. Example
Solve for x

10. Example
Solve for x

11. Draw a Perpendicular Bisector to a Given Line
Begin with a given line
1. Place the compass point on one end point (ep) of the line.
2. Adjust the compass radius to approximately 2/3 the length of the line (radius must be > ½ the length of the line but actual size does not matter)
3. Draw an arc above and below the line.

12. Draw a Perpendicular Bisector to a Given Line
Without adjusting the radius place the compass point on the opposite ep of the line .
Draw arcs intersecting the first two
Connect the intersections using a straight edge.

13. Draw a Perpendicular Bisector to a Given Line- Solution