1. 1.7: Midpoint and Distance in the Coordinate Plane Part II

2. Today’s Objectives  We can solve for the distance between two points.  Using the distance formula, we can determined if two segments are congruent.

3. Distance Between Two Points The Pythagorean Theorem

4. The Distance Formula Find the distance between (-3, 2) and (4, 1) x 1 = -3, x 2 = 4, y 1 = 2, y 2 = 1 d = Example:

5. Find the distance between (4, -7) and (8, -4) x 1 = 4 x 2 = 8, y 1 = -7, y 2 = -4

6. Example Find the distance between (-2, 4) and (7, 0) x 1 = -2 x 2 = 7, y 1 = 4, y 2 = 0

7. Example Find the distance between (-7, 1) and (-4, -1) x 1 = -7 x 2 = -4, y 1 = 1, y 2 = -1

8. Congruent Segments  Determine if JK and LM are congruent J (-4, 0) K (4, 8) L (-4, 2) M (3, -7) Find JK Find LM Not congruent!

9. Example  Find half of the distance between L(-3,6) and N(7,0) Midpoint is (2,3)

10. What We Just Did L(-3,6) and N(7,0) Midpoint is (2,3)

11. Take Home Message  The distance formula  To show segments are congruent, we need to show they have the same length (distance)