Warm Up Construct a segment AB.

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Presentation transcript:

Warm Up Construct a segment AB. Find the midpoint of AB and label it M.

Midpoint Formula Geometry

Midpoint The midpoint of a segment is the point that divides, or bisects, the segment into two congruent segments.

Finding the Midpoint If you know the coordinates of the endpoints of a segment, you can calculate the coordinates of the midpoint. You simply take the mean, or average, of the x-coordinates and of the y-coordinates. This method is summarized as the Midpoint Formula

Midpoint Formula

Find the Midpoint Plot the points A(-2, 3) and B(5, -2) Use the Midpoint Formula to find the coordinates of the midpoint of segment AB. Graph a Segment Bisector

Find the Midpoint Plot the points D(3, 5) and E(-4, 0) Use the Midpoint Formula to find the coordinates of the midpoint of segment DE. Graph a segment bisector

Find the Other Endpoint of a Segment Plot the points X(-3, 1) and M(3, -4) The midpoint of segment XY is M. One endpoint is X. Find the coordinates of the other endpoint, Y. Plot Y

Find the Other Endpoint of a Segment Graph the points R(-1, 7) and M(2, 4) The midpoint of segment RP is M. One endpoint is R. Find the coordinates of the other endpoint, P. Plot P