1. Midpoint and Distance Formulas Section 1.3

2. Definition O The midpoint of a segment is the point that divides the segment into two congruent segments.

3. Midpoint Formula O The coordinates of the midpoint of a segment are the averages of the x- coordinates and of the y-coordinates of the endpoints.

4. Finding a Midpoint O Find the midpoint between the endpoints (1, 7) & (3, -4). O Find the midpoint between the endpoints (2, 5) & (-3, 9)

5. Finding an Endpoint O If the midpoint of segment AB is (2, 3) and A is at (-1, 5), where is B located? O If the midpoint of segment CD is (0, -2) and D is at (3, 4), where is C located?

6. Distance Formula O The distance formula is used to compute the distance between two points in a coordinate plane. It is given by:

7. Finding the Distance O Find the distance between the points (1, 4) and (-2, 8).

8. Alternative to the Distance Formula O The distance formula comes from the Pythagorean theorem: a 2 + b 2 = c 2 O If you are unsure about the distance formula, graph the two points accurately on a graph and use the Pythagorean theorem to find the distance.

9. Finding distance O Find the distance between (-2, 3) & (10, 8) by graphing and using the Pythagorean theorem.

10. Compare the two ways O Find the distance between (-7, -3) & (8, 5) using the distance formula. O Graph the same two points and find the distance using the Pythagorean Theorem.

11. Assignment O Pg. 19 #17-21 odds, 25-33 odds