1'5: Midpoint

1
1.5 Midpoint

• Midpoint The midpoint M of segment PQ is the
  point between P and Q such that PM MQ.
• What are some ways to find the middle?

2
Midpoint Formula

• Average the points together

3

• Ex. Find the midpoint between the following
  points P(-3, -4) and S(5, 7).

4

• Ex. Find the coordinates of the midpoint for
  segment GH when G(0, 0.5) and H(-3, 4.5).

5

• Ex. Given that Y is the midpoint of segment XZ,
  XY 2x 11, and YZ 4x 5, find the value of
  x and the measure of segment XZ.

6
Segment Bisector

• Segment Bisector any segment or line that cuts
  a segment at its midpoint.
• Anything that cuts a segment in half.
• Ex. Line m bisects segment JK.

7

• Ex. Draw a diagram that shows segment CD has
  midpoint M, line RS bisects segment CD. Are
  points R, S, and M collinear?

8

• Ex. Given that M is the midpoint of segment AB,
  find the value of x if AM 4x 4, and AB 5x
  12.

9

• Ex. Y is the midpoint of XZ and X(-4, 3),
  Y(-1, 5), find the coordinates of Z.