Getting started with some skill reviews! Conic Sections Getting started with some skill reviews! Completing the Square Distance Midpoint

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!

Warm Up Complete the square and write as a squared binomial. Watch Out!! 7. 8.

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

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

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

The Midpoint What is the midpoint of A(0,2) and B(6,2)? (3,2) A B -8 -6 -4 -2 2 4 6 8 (3,2) A B

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).

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.

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.

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 =

Additional Practice The endpoints of a diameter of a circle are A(-3,2) and B(5,4). Find the center, circumference, and area of the circle.

Assignment Worksheet