Unit 5 geometry

Parallel/perpendicular/neither

100

y=2/8x+12 and y=2/8x+4

What is parallel

200

y=-2/6x+11 and 4x+12y=24

What is parallel

300

3x+4y=-12 and y=3/4x-4

What is perpendicular

400

x+2y=8 and 4x-8y=24

What is neither

500

y=-10/8x+9/4 and y=8/10x-5

What is perpendicular

Writing equations of parallel lines

100

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

What is 1/4

200

x-2y=4 and 2x-4y=12

What is 1/2

300

y=-1/3x+5 and 2x+6y=12

What is -1/3

400

6x+8y=-24 and y=-3/4x-3

What is -3/4

500

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

What is -2/3

Writing equations of perpendicular lines

100

3x-5y=7 and 10x+6y=12

What is 3/5 and -5/3

200

3x-4y=4 and 6y+8x=7

What is 3/4 and -4/3

300

9x - 8y = 6 and 20x - 15y = 7

What is y = -3/4

y = 4/3

400

15x - 25y = 9 and 50x + 30y = 14

What is 3/5 and -5/3

500

18x - 24y = 48 and 30x + 40y = 35

What is 3/4 and -4/3

Identifying the Center&Radius of a circle

100

(x-12) + (y+3) = 108

What is Center = (12, -3)

Radius = 10.392

200

(x - 27) + (y + 9) = 49

What is Center = (27, -9)

Radius = 7

300

(x + 9) + (y - 3) = 36

What is Center = (-9, 3)

Radius = 6

400

(x + 4) + (y + 6) = 121

What is Center = (-4, -6)

Radius = 11

500

(x - 12) + (y - 3) = 9

What is Center = (12, 3)

Radius = 9

Completing the square to find the center and radius of a circle

100

x²+2x+y²+4y=11

What is Center (-1,-2)

Radius (4)

200

x² + 6x + y² + 2x = 9

What is Center = (-3, -1)

Radius = (3.605)

300

x^{2 +} 50x + y² + 22x =150

What is Center = (-625, -121)

Radius = 2

400

x² - 10x - y² - 4x = 19

What is Center = (25, 4)

Radius = 3.162

500

x² - 14x + y² - 36 = 98

What is Center = (49, 169)

Radius = (10.954)