1. The Distance and Midpoint Formulas
Objective:
To find the distance between 2 points in the coordinate plane
To find the coordinates of a midpoint of a segment on the coordinate plane

2. (-, +) ( +, +) a.) (5, 2) b.) (-2, -4) c.) (5, -2) d.) (-4, 5) (-, -)
IN COORDINATE GEOMETRY, WE CALL A POINT AN ORDERED PAIR: (x, y) (these are the coordinates of the point)
(-, +)
( +, +)
Graph the following points:
a.) (5, 2)
b.) (-2, -4)
c.) (5, -2)
d.) (-4, 5)
(-, -)
( +, -)

3. The Distance Formula
Used to find the distance between two points: A( x1, y1) and B(x2, y2)
You also could just plot the points and use the Pythagorean Theorem!!

4. Find the distance between (1,-2) and (3,7).
Use Pythagorean Theorem:
Use distance formala:

5. Find the distance between the two points
Find the distance between the two points. Round your answer to the nearest tenth.
T(5, 2) and R(-4, -1)
Take a look at example 2, p. 44
2. A( -2, -3) and B(1, 3)

6. Why are these pairs of points different??
(2, 5) and (2, 9)
(-4, 7) and ( 3, 7)

7. Graph the following points
Graph the following points. Draw the segments connecting A, B, C and D in order. Find the perimeter of the figure.
A(2, 1); B(2, -5); C(-4, -5); D(-4, 1)

8. Midpoint Formula Find the midpoint coordinates between 2 points
Find by averaging the x-coordinates and the y-coordinates of the endpoints
(x2, y2)
(x1, y1)

9. Find the coordinates of the midpoint of
Q(3, 5) and S(7, -9)
Q( -4, 4) and S(5, -1)

10. Finding an Endpoint Using the Midpoint Formula
The midpoint of is M(3, 4). One endpoint is A (-3, -2). Find the coordinates of the other endpoint, B. x- coordinate: y-coordinate:

11. Find the other endpoint: Endpoint: (2, 5) Midpoint: (5, 1)

12. Activity: On a piece of graph paper, draw a coordinate plane.
Using a ruler, design a closed figure using segments only. Label the vertices.
Exchange with a classmate.
On the paper you receive, find the length of each side and the midpoint of each side. Show all work.
What is the perimeter of the figure?