Polygons in the coordinate plane
The polygon formed when the vertices (0,0), (0,2), (2,2), and (2,0) are graphed and then connected in order
What is a square?
The center is (-1, 0) and the diameter is 24
(x+1)2+y2=144
x2+y2-2x+28y+181=0
(x-1)2+(y+14)2=16
(x-3)2+(y+1)2=36
radius: 6
Center: (2, −5) Point on Circle: (−7, −1)
(x − 2)2 + (y + 5)2 = 97
The area of a square with vertices at (0,0), (0,10), (10,10), and (10,0).
What is 100?
The center is (2, 3) and the diameter is 10
(x-2)2+(y-3)2=25
x2+y2+20x+20y+164=0
(x+10)2+(y+10)2=36
(x-5)2+(y-10)2=25
Center: (5,10)
Radius 5
Center: (14, 17) Point on Circle: (15, 17)
(x − 14)2+ (y − 17)2 = 1
The polygon formed when the vertices (2,-3), (4,3), (-4,3), and (-6,-3) are graphed and connected in order.
What is a parallelogram?
The center is (12, -3) and the diameter is 14
(x-12)2+(y+3)2=49
x2+y2-16y-36=0
x2+(y-8)2=100
x2+y2=17
Center (0,0)
Radius: square root of 17
Center: (−13, −16) Point on Circle: (−10, −16)
(x + 13)2 + (y + 16)2 = 9
The area of a triangle with vertices at (2,3), (-2,3) and (-2,-9)
What is 24?
Write the center-radius form of the equation of a circle given the two endpoints of a diameter: (-4,6),(-6,18)
(x+5)2+(y-12)2=37
x2+y2-2x+24y+120=0
(x-1)2+(y+12)2=25
(x-12)2+(y-9)2=100
Center (12, 9)
Radius 10
center (5, 9); point (2, 9)
(x−5)2+(y−9)2=9
The polygon formed when the vertices (-6,-7), (-6,-2), (-4,-2) and (-1,-7) are graphed and connected in order.
What is a trapezoid?
Write the center-radius form of the equation of a circle given the two endpoints of a diameter: (-3,-6),(-5,-2)
(x+4)2+(y+4)2=5
x2+y2-28x+10y+220=0
(x-14)2+(y-5)2=1
(x-7)2+(y+8)2=225
Center (7,-8)
Radius 15
center (-4, -3); point (2, 2)
(x+4)2+(y+3)2=61