Geometry Jeopardy

Parallel, Perpendicular or Neither

100

What is the formula for solving for parallel, perpendicular lines or neither in Point-Slope form

y=mx+b

200

Parallel, Perpendicular or Neither

2y=7x+2         7y=2x-3

Neither

300

Parallel Perpendicular or Neither

3x+4y=12          4y=-3x+12

y=-3/4x 

Parallel

400

Parallel, Perpendicular or Neither?

2x-3y=9              6y-4x=1

y=2/3x

Parallel

500

Parallel, Perpendicular or Neither

2x-3y=9             2y=3x+9

Perpendicular

Writing Equations of Parallel Lines

100

y-y₁=m(x-x₁)             (4,1)

y=4x-15

200

y-y₁=m(x-x₁)       (5,2)

y=5x-25

300

y-y₁=m(x-x₁)        (7,4)

y=7x-49

400

y-y₁=m(x-x₁)        (4,3)

y=4x-16

500

y-y₁=m(x-x₁)       (-5,3)

y=-5x-25

Writing Equations of perpendicular Lines

100

y-y₁=m(x-x₁)      (2,4)

y=-1/2x+1

200

y-y₁=m(x-x₁)        (-3,5)

y=1/3x+1

300

y-y₁=m(x-x₁)      (4,5)

y=-1/4x+1

Identifying the Center and Radius of a circle

100

What is the formula for finding the center and radius of a circle?

(x-h)²+(y-k)²=R²

200

What is the center and radius of

(x+10)²+(y+5)²=36

Center=(10,5)

Radius=6

300

What is the radius of the circle?

x²+7x+y²-10-9=28

5.2

400

What is the center and radius of

x²+9x+y²+97y-16=49

Center=(4.5,48.5)

Radius=49.37

500

What is the center of the circle?

x²+7x+y²-10-9=28

(7,-10)

Completing the square to find the center or radius of a Circle

100

what is the formula for completing the square?

take half of the coefficient of the middle term, square it add that number on both sides, go back and take half of the coefficient of the middle term.

200

x²+5x+g²+5y-5=25

Center=(2.5,2.5)

300

x²+6x+y²+14y+6=0

Center=(3,-7)

Radius=7.2

400

x²+2x+y²+4y-1=5

Center=(2,2)

Radius=3.7