Show:
Circles
Parallel and Perpendicular Lines
Triangles and Transformations
Arc Length and Sectors
Mixed Bag
100

What is the center and radius of this circle:

(x-8)2+(y-2)2 = 16

Center: (8,2)

Radius: 4

100
What is the slope of a line parallel to: 


y=8x+4

8

100

Write the rule for the following transformation:

Translate down 8 and to the right 4

(x,y) -> (x+4, y-8)

100

Find the arc length of a circle with the following:

Radius: 6

Central Angle: 90

MUST BE IN TERMS OF PI

3pi

100

What is Mr. Harker's favorite candy?

Extra dark chocolate

200

What is the center and radius of this circle:

(x+9)2+(y+1)2 = 400

Center: (-9,-1)

Radius: 20

200

What is the slope of a line perpendicular to:

y= 1/2x - 3

-2

200

Write the transformation rule for the following:

Rotate 180 degrees

(x,y) -> (-x, -y)

200

Find the sector of a circle with the following:

Radius: 4

Central Angle: 60

MUST BE IN TERMS OF PI

(8/3)pi

200

Find the equation for a parabola with the following characteristics:

Directrix: y=-4

Focus: (0,4)

(x-0)2+(y-4)2 = (y+4)2

300

What is the center and radius of this circle:

x2+y2+8x-6y+21=0

(-4,3) and 2

300

What is the equation for the line that goes through (-3,1) and is perpendicular to y = -3x + 8


WRITE ANSWER IN SLOPE INTERCEPT FORM

y = 1/3x + 2

300

Find the area and perimeter of the triangle with the following coordinates:

(0,4) 

(0,0)

(3,0)

Area: 12

Perimeter: 12

300

Find the area of the sector of a circle with a central angle of 160 degrees and an equation of (x-4)2+(y+3)2=49


MUST BE IN TERMS OF PI

21.8pi

300

What is unique about Oregon's flag?

Double sided

400

For the given endpoints of a diameter, find the center of the circle and the length of the radius of the circle:


(-2, -3) and (4, -5)

Center: (1,-4)

Radius: 3.16

400

Find the equation of a perpendicular line that goes through point (2,2). The original line goes through (1,6) and (8,23.5)

(y-2) = -2/5(x-2)

400

Find the area and perimeter of the triangle with the following coordinates:

(-1,-2) 

(-3,0)

(-3,-3)

Area: 2

Perimeter: 9.66

400

Find the area of a circle inscribed in a square whose diagonal is 8 feet


LEAVE IN TERMS OF PI

8pi

400

The equation for a circle is (x-5)2+(y+7)2=100. If the circle is dilated by a scale factor of k=2.5, find the new equation

(x-5)2+(y+7)2=625

500

What is the center and radius of this circle:

9x2+54x+9y2-18y+64 = 0

Center: (-3,1)

Radius: 1.7

500

Find the equation of the line tangent (perpendicular) to the circle (x-5)2+ (y + 2)2 = 25 at point (8,-4)

y = 1.5x - 16

500

A triangle has vertices (0,2), (8,2), and (4,6). Show the triangle is isosceles and find its area

Area: 16

BC and AC are 4root(2) 

500

Find the area and perimeter of the following image:

Area: 353.77

Perimeter: 91.83

500

Find the equation of the altitude of the triangle through point B. That is, write an equation perpendicular to AC, through point B.


See image

y+2 = -.8(x-2)