1. 1-6: Midpoint and Distance
OBJECTIVES:
Develop and apply the formula for midpoint.
Use the Distance Formula and the Pythagorean Theorem to find the distance between two points.

2. 1-6: Midpoint and Distance
The two sides that form the right angle.
Legs of Right Triangle
The longest side of a right triangle.
It’s across from the right angle.
Hypotenuse of Right Triangle

3. 1-6: Midpoint and Distance
Finding the midpoint of a segment:
Take the average of the x-coordinates and the average of the y-coordinates of the endpoints.  M B A

4. 1-6: Midpoint and Distance
EXAMPLE 1:
Find the coordinates of the midpoint of with endpoints and

5. 1-6: Midpoint and Distance
EXAMPLE 2:
M is the midpoint of XY. X has coordinates (2, 7) and M has coordinates (6, 1). Find the coordinates of Y.

6. 1-6: Midpoint and Distance
You Try It!
S is the midpoint of RT. R has coordinates (–6, –1), and S has coordinates (–1, 1). Find the coordinates of T.

7. 1-6: Midpoint and Distance
In a coordinate plane, the distance d between two points and
Distance Formula
In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Pythagorean Theorem

8. 1-6: Midpoint and Distance
Example 3:
Find FG and JK, then determine whether

9. Assignment
p. 47: 1-9, 14, 15