1. Apply the Distance and Midpoint Formulas
Section 9.1
Apply the Distance and Midpoint Formulas

2. California Standard:
Geo 15.0: Students use the Pythagorean Theorem to determine the distance and find missing lengths of sides of right triangles.

3. By following instructions, students will be able to:
OBJECTIVE(S):
By following instructions, students will be able to:
Find the length and midpoint of a segment.

4. THE DISTANCE FORMULA: THE DISTANCE D BETWEEN THE POINTS AND IS

5. EXAMPLE 1:
What is the distance between (-3,5) and (4,-10?

6. EXAMPLE 2:
The vertices of a triangle are A(4,6), B(7,3), and C(2,1). Determine if triangle ABC is scalene, isosceles, or equilateral.

7. U-TRY#1: What is the distance between (3,-3) and (-1,5)?
The vertices of a triangle are R(-1,3), S(5,2) and T(3,6). Determine if triangle RST is scalene, isosceles, or equilateral.

8. THE MIDPOINT FORMULA: THE MIDPOINT BETWEEN AND IS:

9. EXAMPLE 3:
Find the midpoint of the line segment joining (- 5,1) and (-1,6).

10. U-TRY#2: a) (0,0) and (-4,12) b) (-2,1) and (4,-7)
Find the midpoint of the line segment joining the points
a) (0,0) and (-4,12)
b) (-2,1) and (4,-7)
c) (3,8) and (-5,-10)

11. HOMEWORK
Sec 9.1 WS