Midpoint Section 1.5a. Warm Up 1. Graph A (–2, 3) and B (1, 0). 2. Find CD. 3. Find the coordinate of the midpoint of CD. 4. Simplify.

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Presentation transcript:

Midpoint Section 1.5a

Warm Up 1. Graph A (–2, 3) and B (1, 0). 2. Find CD. 3. Find the coordinate of the midpoint of CD. 4. Simplify.

On a number line:  The coordinate of the midpoint with endpoints a and b, is (a+b)/2  Find the midpoint of segment FG.  Find the midpoint of segment AB.  Find the midpoint of segment XY.  Find the midpoint of segment XB.

In a Coordinate plane:  The coordinates of the midpoint of a segment is  Find the midpoint of segment RS, if the R(-3, -4) and S(5,7).  Find the midpoint of segment AB, given A(-4,10) and B(2,6).

 What if we were given the midpoint and one endpoint, then asked to find the other endpoint? 1. Find the coordinate of point Q if L (4,-6) is the midpoint of segment NQ and the coordinates of N are (8,-9).

2. Y is the midpoint of segment XZ Find the missing point: X(-4,3) and Y(-1,5) 3.A is the midpoint of segment YZ. Find the missing endpoint if A(-2,-4) and Z(3,5).

 Given that M is the midpoint of, find the coordinate of the missing point.  a. A( -9,4) and B( 3,-2)  B. A(-5,-4) and M (1,-5)

Segment Bisector:  The segment bisector cuts a segment in half creating two congruent pieces. Line y bisects. AO = OB