Chapter 1.3

USE DISTANCE AND MIDPOINT FORMULA

In this section we will…

Review the midpoint and distance formula

Use the definition of a midpoint to solve algebraic problems.

What is a midpoint?

A midpoint is a point on a segment that divides the segment in half and therefore creates two congruent segments.

What is a segment bisector?

A segment bisector is exactly what it sounds like.Something that divides a segment

into two congruent pieces.Segment bisectors can be points,

lines, rays, segments, planes, etc.

What is the difference between a midpoint and segment bisector?

A midpoint is the actual point where the segment is cut in two congruent segments.

The segment bisector is what cuts the segment in two congruent segments.

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Midpoint formula

)2

,2

(. 1212 yyxxmid

•This formula shows where the midpoint of a line segment lies on the coordinate plane.

Find the midpoint of the segment with the given endpoints.

Find the midpoint of the segment with the given endpoints.

Point Y is an endpoint and point M is the midpoint. Use the midpoint formula to find the other endpoint.

Point Y is an endpoint and point M is the midpoint. Use the midpoint formula to find the other endpoint.

Distance formula

This formula finds the distance of a segment between two endpoints on the coordinate plane.

212

212 )()(. yyxxdist

Use the distance formula to find the distance of the segment.

Use the distance formula to find the distance of the segment.

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