Question
The point (-3,4) is on a circle with its center at the origin. Which of the following points must also be on the circle?
Answers
Jodie
Well, the origin must mean that the coordinates are (0,0), so (-3,4) and (0,-4) are also points on the the circle.
Reiny
None of your "following points" are showing up
Point with integer values on the circle are
(5,0), (-5,0), (0, 5) , (0, -5)
(3,4) ,(-3,4) , (3, -4), and (-3,-4)
Jodie's point of (0,-4) does not lie on the circle
the equation would be
x^2 + y^2 = 25
so sub in your given points to see if they satisfy that equation.
If they do, they lie on the circle.
Point with integer values on the circle are
(5,0), (-5,0), (0, 5) , (0, -5)
(3,4) ,(-3,4) , (3, -4), and (-3,-4)
Jodie's point of (0,-4) does not lie on the circle
the equation would be
x^2 + y^2 = 25
so sub in your given points to see if they satisfy that equation.
If they do, they lie on the circle.