1. Warm up Solve for x 38 x 70 52

2. Integrated Math II Triangles P3 Perpendicular Bisector Circumcenter Median

3. Perpendicular bisector theorem Perpendicular bisector – cuts a segment in half creating 90 degree angles Instruction: 1.Create a segment 2.Find its mid point 3.Create a perpendicular bisector 4.Pick a point on the bisector and connect to the end points of the segment 5.What triangle does it form?

4. Where Should We Meet? You and 2 other friends want to meet for lunch, however, you guys (or girls) want to make sure that each drive the same distance. Where should you meet?

5. Where Should We Meet? -Create a triangle connecting all points -Construct a perpendicular bisector to each segment -Where the lines meet is your circumcenter

6. Where Should We Meet?

7. Center of Mass I am trying to balance a triangular piece of metal with a rod. Why? I have not figured out that part yet. Where should I put a rod to balance it?

8. Center of Mass Create a median to all segments What is a median? I am glad you asked Median: connecting the mid point of a segment to the opposite vertex

9. Center of Mass Median: connecting the mid point of a segment to the opposite vertex

10. Properties of a Median Create a triangle large enough to measure the inside segments as shown below Find the median A Measure the inside segments What patterns do you see? x y B C z P