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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 .

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Chapter 1: Tools of Geometry

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

  2. 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

  3. 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 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 Distance and Midpoint

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

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

  6. Find the distance and midpoint of AM Examples

  7. Find the coordinates ofRifN (8, –3) is the midpointofRSandShas coordinates (–1, 5). Examples

  8. Examples

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

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

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

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