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# Section 3

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### Section 3

1. 1. 1.3 Distance and Midpoints
2. 2. Objective <ul><li>Find the distance between two points </li></ul><ul><li>Find the midpoint of a segment </li></ul>
3. 3. Distance between two points <ul><li>The coordinates of the endpoints of a segment can be used to find the length of the segment. Because the distance from A to B is the same as the distance from B to A, the order in which you name endpoints makes no difference. </li></ul>
4. 4. Pythagorean Theorem
5. 5. Distance Formulas <ul><li>Number line </li></ul><ul><li>Coordinate Plane </li></ul>
6. 6. Examples <ul><li>Use a number line to find CD. </li></ul><ul><ul><li>The coordinates of C and D are -6 and -3. </li></ul></ul><ul><li>Find the distance between E(-4,1) and F(3,-1). </li></ul>
7. 7. Midpoint <ul><li>Number Line </li></ul><ul><ul><li>The coordinate of the midpoint of a segment with endpoints that have coordinates a and b is </li></ul></ul><ul><li>Coordinate Plane </li></ul><ul><ul><li>The coordinates of the midpoint of a segment with endpoints that have coordinates and are </li></ul></ul>
8. 8. Examples <ul><li>The coordinates on a number line of J and K are -12 and 16, respectively. Find the coordinate of the midpoint. </li></ul><ul><li>Find the coordinates of the midpoints of the coordinates G(8,-6) and H(-14,12) </li></ul>