1. 1.6: The Midpoint Formula Objective:
To find the coordinates of a midpoint of a segment on the coordinate plane

2. AGENDA Homework Check Warm Up Midpoint Formula
Review for Quiz: Scavenger Hunt

3. HOMEWORK “Practice Quiz B” Worksheet Optional
BONUS! Assignment [Bonus points]

4. You also could just plot the points and use the Pythagorean Theorem!!
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!!
From last time…

5. Finding the Distance…THINK!
If it is…
If it is
Horizontal
Diagonal
Vertical
12 units
Distance Formula
Pythagorean Theorem
15 units
Count it!

6. Warm Up
Find the distance between the two points. Round your answer to the nearest tenth.
T(5, 2) and R(-4, -1)
2. A( -2, -3) and B(1, 3)

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. Finding an Endpoint Using the Midpoint Formula
Find the other endpoint: Endpoint: (2, 5) Midpoint: (5, 1)

12. Think Visually!