2. The Coordinate Plane Mrs. King Geometry Unit 1, Lesson 6

3. Coordinate Plane Axes (plural of axis) 0 x-axis 0 y-axis x y

4. Coordinate Plane Origin x y

5. Coordinate Plane Quadrants x y III III IV

6. Coordinates Plot and label the points: 0 A(4,7) 0 B(-3,5) 0 C(4,-7) 0 D(-6,-3) State the quadrant in which each point is graphed.

7. Coordinates State the coordinates: 0 A 0 B 0 C 0 D 0 E 0 F A B C D E F (5,2) (-8,-5) (-3,5) (4,-7) (0,4) (-7,0)

8. Distance in the coordinate plane Kayleigh walks to a friend’s house by traveling 5 blocks west and then 12 blocks north. She returns home later by cutting diagonally through her neighbors’ yards. What distance did she travel on her voyage home?

9. Distance formula 0 The distance between two points and on the coordinate plane (graph) can be found using the formula:

10. http://www.bsin.k12.nm.us/schools/BHS/math/joinmath/geometry/GEO1_3.pps#257,4,Slide 4

11. d = 8 2 + (–8) 2 Find the distance between R(–2, –6) and S(6, –2) to the nearest tenth. To the nearest tenth, RS = 11.3. d = (x 2 – x 1 ) 2 + (y 2 – y 1 ) 2 d = (6 – (–2)) 2 + (–2 – (–6)) 2 d = 64 + 64 = 128 Practice

12. Midpoint Formula M = Find the midpoint between (-2, 5) and (6, 4) Example: In the coordinate plane, the coordinates of the midpoint of a segment whose endpoints have coordinates and are. x1y1x2y2

13. The coordinates of midpoint M are (1, 3). AB has endpoints (8, 9) and (–6, –3). Find the coordinates of its midpoint M. (, ) x 1 + x 2 2 y 1 + y 2 2 8 + (–6) 2 = = 1 2222 9 + (–3) 2 = = 3 6262 Practice

14. Homework The Coordinate Plane in Student Practice Packet (Page 7, #1-13)