Circles
Write the equation of a circle with a center of (3, 4) and a radius of 6.
(x-3)2+(y-4)2=36
Write the equation of a line that passes through the point (1, 3) and is parallel to the line y+4=1/3(x-2).
y-3=1/3(x-1)
Write the equation of a line that passes through the point (5, -4) and is parallel to the line y-14=-5(x+2).
y+4=-5(x-5)
Find the length of a line segment with endpoints M(-5, 2) and A(1, 4). Round to the nearest tenth if necessary.
6.3
Determine the coordinate of the centroid of the triangle with points A(1, 2) B(3, 4) and C(7, 8).
(11/3 , 14/3)
Write the equation of a circle with a center of (-2, 12) and a radius of 7.
(x+2)2+(y-12)2=49
Write the equation of a line that passes through the point (-7, 1) and is perpendicular to the line y+4=13(x-2).
y-1=-3(x+7)
Find the area of a triangle with the points H(0,0), J(10,0), and K(3, 7).
10(7)/2= 35
Determine the coordinate of the centroid of the triangle with points A(2, 5) B(2, -3) and C(4, 9).
(8/3, 11/3)
A circle has a center of (3, 7) and a radius of 5 units. Is the point (6, 11) on the circle?
Yes! (x-3)2+(y-7)2=25
Write an equation of the line that goes through the points (-7, 6) and (-3, 9).
Slope is 3/4
y-9=3/4(x+3)
Write the equation of a line that passes through the points (1, -4) and (-5, 7).
Slope is -11/6
y+4=-11/6(x-1)
y-7=-11/6(x+5)
Calculate the perimeter of a triangle with points A(-3, 1), B(1, 1) and C(-1, 5). Round to the nearest tenth if necessary
Perimeter = 4.5+4.5+4 = 13
Write the equation of a circle with the center (5, -3) and a point of the circle is (9, 3).
(x-5)2+(y+3)2=52
Find the slope of the points (-3, 1) and (0, 7). Write the perpendicular slope as well.
Slope = 2
Perp. slope = -1/2
Find the slope of the points (6, 0) and (-5, 4). Write the perpendicular slope as well.
Slope = -4/11
Perp. Slope = 11/4
Calculate the perimeter of a quadrilateral with the points C(-1, 3), A(0,0), R(3, 1) and Z(2, 4). What shape did you create? How do you know?
Perimeter = 3.2(4) = 12.8
A square! 4 congruent sides and slopes are perpendicular!
A circle has a center of (6, -7) and a radius of 13 units. Is the point (-6, -2) on the circle?
Yes!
Write the equation of a line that passes through the point (10, -2) and is perpendicular to the line with the points (4, 3) and (6, -2).
Perp slope was -5/2, so our equation is y+2=2/5(x-10)