Equations of Circles
Partitioning and Midpoint
Perimeter and Area
Points Location and Distance Formula
Parallel and Perpendicular
100
What is the standard form equation of a circle?
(x-h)^2+(y-k)^2=r^2
100
When partitioning a line segment what letters do we use to identify the ratio?
Example 3:4 or 3 to 4
A and B
Example: A is 3 and B is 4
100
How do we find the perimeter of a figure on the coordinate plane?
Use the distance formula for the side lengths then add all the sides together
100
Where would a point be located if
(x-h)^2+(y-k)^2>r^2
Outside of the circle
100
What type of slope will perpendicular lines have?
Opposite reciprocal (change the sign and flip the fraction!)
200
Identify the center and radius of the circle below
(x-5)^2+(y+2)^2=49
Center: (5, -2)
Radius: 7
200
What is the formula we use to find the midpoint of a line segment?
(x1+x2)/2 (y1+y2)/2
200
What equation do we use to find the area of a rectangle/parallelogram?
A=L*W
200
Where would a point be located if
(x-h)^2+(y-k)^2=r^2
On the circle
200
What equation do we use when writing the equation of a line when given slope and y-intercept?
Slope intercept form
y=mx+b
300
Write the equation of a circle with a center located at (3, -1) and a radius of 4
(x-3)^2+(y+1)^2=16
300
What is the midpoint of segment AB if A is located at (2, -4) and B is located at (9, 6)?
Midpoint: (5.5, 1)
300
What equation do we use to find the area of a triangle?
A= (b*h)/2
300
Find the distance of segment KJ if K is located at (-1, 4) and J is located at (2, 8)
5
300
What equation do we use when writing the equation of a line given a point and the slope?
Point slope form
y-y1=m(x-x1)
400
Identify the center and radius of the circle with equation
x^2+(y-4)^2=34
Center: (0, 4)
Radius:
sqrt34
400
Find the midpoint M of segment CD if C is located at (-4, 8) and D is located at (2, 0)
(-1, 4)
400
Find the perimeter of the figure below
42 un
400
Where is the point A (3, -2) in relation to the circle with equation
(x-2)^2+(y+6)^2=18
Inside of the circle
400
What is the slope intercept form of the line with equation
4x + 6y = 18
y=-2/3x+3
500
Complete the square to identify the equation of a circle in standard form
x^2+y^2-8x+6y-10=0
(x-4)^2+(y+3)^2=35
500
Find the coordinate of the point P that lies along the directed segment from C (-3, -2) to D(6,1) and partitions the segment in the ratio 2 to 1.
(3, 1)
500
Find the area of the figure below
60un^2
500
Where is the point A (-1, 5) in relation to the circle with equation
(x-6)^2+(y-3)^2=53
On the circle
500
Write the equation of a line perpendicular to y=3x + 2 with a y-intercept of -5
y=-1/3x-5