1. Distance and Midpoint In The Coordinate Plane
Objective: To use two dimensional coordinate systems to represent points, lines, line segments and figures.
To derive and use formulas involving length and midpoint

2. Find the distance and midpoint between Point R and Point T

3. EXAMPLE FIND THE :
1) A ( 2, -4) and the midpoint between 𝑨𝑩 is (-7, -2). Find the coordinate of point B

4. Find the distance and midpoint
COORDINATE SYSTEM
Find the distance and midpoint
y - axis 14 13 12 11 10 9 8 7 6 5 4 3 2 1
x - axis
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14

5. COORDINATE SYSTEM QUADRANT II QUADRANT I (0, 0) QUADRANT III
y - axis 14 13 12 11 10 9 8 7 6 5 4 3 2 1
QUADRANT II
QUADRANT I
(0, 0)
x - axis
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14
QUADRANT III
QUADRANT IV

6. COORDINATE SYSTEM (x, y) coordinate pair (- 12, 10) (5, 6) y - axis14 13 12 11 10 9 8 7 6 5 4 3 2 1
(x, y)
coordinate pair
(- 12, 10)
(5, 6)
x - axis
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14

7. COORDINATE SYSTEM

8. COORDINATE SYSTEM y - axis x - axis 14 13 12 11 10 9 8 7 6 5 4 3 2 1
x - axis
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14

9. COORDINATE SYSTEM y - axis x - axis 14 13 12 11 10 9 8 7 6 5 4 3 2 1
x - axis
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
- 11
- 12
- 13
- 14