Midpoint and Distance Formulas

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Presentation transcript:

Midpoint and Distance Formulas

Midpoint Formula On a number line The coordinate of the midpoint is the _____________ or _____________ of the coordinates of the endpoints.

Midpoint Formula In the Coordinate Plane The coordinates of the midpoint are the average of the x-coordinates and the average of the y- coordinates of the endpoints.

Example: Finding the Midpoint Segment AB has endpoints at -4 and 9. What is the coordinate of its midpoint?

Example: Finding the Midpoint Segment EF has endpoints E(7,5) and F(2,-4). What are the coordinates of its midpoint M?

Segment Bisector Definition: Any segment, line or plane that divides a segment into two congruent parts is called a segment bisector.

Finding an Endpoint The midpoint of segment CD is M(-2,1). One endpoint is C(-5,7). What are the coordinates of the other endpoint D?

Distance Formula

Example: Finding Distance What is the distance between U(-7,5) and V(4,-3)?

Practice Find the distance and midpoint between (4,-5) and (3,-5).