Chapter 1: Tools of Geometry Lesson 3: Distance and Midpoint Chapter 1: Tools of Geometry

Midpoint- the point on a segment that divides the segment into two congruent segments Segment bisector- any line, segment or plane that intersects a segment at its midpoint Definitions

Distance Formula- used to find the length of a segment. ex: Find the distance between A (5,1) and B (-3, -3). *on a number line- subtract the endpoint values Midpoint Formula- used to find the point half way down a segment ex: Find the midpoint of JK if J(-1,2) and K(6, 1) * on a number line- add the endpoint values and divide by 2 Distance and Midpoint

Use the number line to find the midpoint and the measure of AX. examples

Find the midpoint and distance between E(–4, 1) and F(3, –1). Examples

Find the distance and midpoint of AM Examples

Find the coordinates of R if N (8, –3) is the midpoint of RS and S has coordinates (–1, 5). Examples

Examples

Find LM. Assume that the figure is not drawn to scale. Examples

Find the value of x and ST if T is between S and U, ST = 7x, SU = 45, and TU = 5x – 3. Examples

Find the value of n and WX if W is between X and Y, WX = 6n – 10, XY = 17, and WY = 3n. Examples