1. Warm Up
Complete the square and write as a squared binomial.
1. x2 + 6x + _____ = _____________
2. x2 – 10x + _____ = _____________
3. x2 + 24x + _____ = _____________
4. x2 + 2x + _____ = _____________
5. x2 – 5x + _____ = ______________ 6.
This will be a critical skill we will use with conic sections!

2. Warm Up
Solve by completing the square.

3. Distance and Midpoint Formulas
Objectives:
Use the distance and midpoint formulas

4. The Distance Formula
Given points P(5,-4) and Q(-3,3) find the distance, d, between them.

5. Practice
Find the distance between S(3,5) and T(-4,-2).

6. The Midpoint
What is the midpoint of A(0,2) and B(6,2)?
(3,2) A B

7. The Midpoint Formula
The coordinates of the midpoint, M, between two points, P(x1,y1) and Q(x2,y2), are
Find the coordinates of the midpoint, M, of the line segment whose endpoints are S(-2,1) and T(8,3).

8. Practice
The endpoints of a diameter of a circle have the coordinates F(4,-3) and G(-2,9). Find the center, the circumference, and the area of the circle.
Use the midpoint formula to find the center of the circle.

9. Practice
The endpoints of a diameter of a circle have the coordinates F(4,-3) and G(-2,9). Find the center, the circumference, and the area of the circle.
Use the distance formula to find the radius of the circle.

10. Practice
The endpoints of a diameter of a circle have the coordinates F(4,-3) and G(-2,9). Find the center, the circumference, and the area of the circle.
Radius
Circumference =
Area =

11. Homework
Worksheet