Lesson 6 Turn It Around Practice Understanding

Ready

Use the distance formula to find . Leave in radical form.

1.

Angle ABC A(2,2), B(4,8), C(14,6)

2.

Angle ABC A(20,22), B(60,9), C(40,79)

3.

Angle ABC A(11,2), B(7,7), C(3,2)

Set

The focus, , and the equation of the directrix are given. The coordinates for points and are also given. Make a sketch of the given information. Then use the diagram and the distance formula to prove that points and lie on the same parabola.

4.

  • focus:

  • directrix:

  • : :

a blank 17 by 17 grid

5.

  • focus:

  • directrix:

  • : :

a blank 17 by 17 grid

6.

  • focus:

  • directrix:

  • : :

a blank 17 by 17 grid

7.

  • focus:

  • directrix:

  • : :

a blank 17 by 17 grid

Go

Use the given information to write the equation of the circle.

8.

Center: , Radius:

9.

Endpoints of the diameter: and

10.

Center: Point on the circle:

11.

Equation of the circle in the diagram:

Circle with center A(3,2); radius 4 x–1–1–1111222333444555666777y–2–2–2–1–1–1111222333444555666000