1. Warm up
Find the distance between the points (1,4), and (-2, 3).
2. Find the distance the ball was kicked in the diagram.
3.16
(40,45) 50
(10,5)
(0,0)

2. Using Distance or Pythagorean Theorem
Closest to the Origin

3. Ex: 1 Which point is closer to the Origin, (-5, 2.1) or (6, 1)?

4. (-1.5, -10) is closest to the Origin.
Ex: 2 Which point is closest to the Origin, (1.5, -10), (12.2, 1) or (6.7, 7.7)?
(-1.5, -10) is closest to the Origin.

5. Which golf ball is closest to the hole?
Example 3
Which golf ball is closest to the hole?
Red (Q1) =5.39 Blue (QIV) = 5 Aqua(QIII) = 5.10
So the one in quadrant IV is the closest.

6. Example 4: If a circle is centered at the origin and has a radius of 5, where do these points lie?
(3,4) 2. (1, 5) 3. (2,3)
D= 5 d = d=3.6
On circle outside circle inside

7. Example 5: Does the point (-3,45) lie on the circle centered at (-6,-5) and containing the point (15,-35)?
It lies outside

8. Using Coordinates to Prove Theorems #9B
Homework
Using Coordinates to Prove Theorems
#9B