Jeopardy Game Geometry

Parallel/Perpendicular/Neither

100

y=-3/4x+3     y=3/4x-3 

neither 

200

Y-(-8)=5(x-4) and Y-6=5(x+4)

Perpendicular

300

Y-(-10)=7(x-6) and Y+8=12 (x-6)

neither

400

Y+6-10x=5 and Y-6+1/10x=7

perpendicular

500

X-Y+6=18 and Y+3X-12=16

neither

Writing Equations ofParallel Lines

100

How do you know if a line is parallel to another?

If both slopes are the same. 

200

write in standard form 

y+6=12x-6  and  y-8=12x+8

y=12x-12    y=12x+16

300

write in standard form

y-16+3x=5   y+12+3x=6

y=21-3x  y=-6-3x

400

write in standard form 

y+2=2x+5   y-3-2x=6

y=2x+3  y=9+2x

500

write in standard form 

y-3=5x-8    y+6-8=5x

y=5x-5   y=5x+2

Writing Equations of Perpendicular Lines

100

How do you know if the lines are perpendicular?

If the slope for one line is the opposite of the other.

200

What is the slope for Y-6=12X-13 and Y+84=12X-112

12X

300

write in standard form  

Y-6+3X=12 and Y+2-1/3x=15

Y=18-3X and Y=143+1/3X

400

write in standard form 

y+8-1/12x=15 and y-8+12x=12

y=7+1/12x  and  y=20-12x

500

write in standard form 

2x-6+y=2 and -1/2+4-y=3

y=8-2x and -y=-1+1/2x

Identifying the Center & Radius of a Circle

100

Find the Center & Radius. x²+(y-2)²=25

center (0,2)

radius 25=5

200

Find the Center & Radius. (x-8)²+(y+4)²=100

center (8,-4)

radius 100=10

300

Find the Center & Radius.  (x+9)²+(y-6)²=25

center (-9,6)

radius 25=5

400

Find the Center & Radius. (x+20)²+(y+30)²=36

center (-20,-30)

radius 36=6

500

Find the Center & Radius. x²+(y+13)²=64

center (0,-13)

radius 64=8

Completing the Square to find the Center and Radius of a Circle

100

Solve. x²+y²-8x+6y-11=0

Center → (4,-3)

Radius → √36=6

200

Solve. x²+y²+4x-10y-7=0

center → (-2,5)

Radius → √36=6

300

Solve. x²+y²+8x+8y=0

center (-4,-4) 

radius 36=6

400

Solve. x²+y²-14x+6y=-33

center (7,-3)

radius 25=5

500

Solve. x²+y²+4x+2y=8

center (-2,-1)

radius 16=4