Question

The proof that point (1,root 3) lies on the circle that is centered at the origin and contains the point (0,2) is found in the table below. What is the justification for the 5th statement

Answer 1

D. Distance formula

Explanation:

`The \ \mathbf{distance} \ d \ between \ the \ \mathbf{points} \ (x_(1),y_(1)) \ and \ (x_(2),y_(2)) \ in \ the \ plane \ is:\\ \\ d=\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`

As in the statement:

The distance form
`(0,0)` to
`(0,2)` is
`√((0-0)^2+(2-0)^2)=√(2^2)=2` whose justification is the Distance Formula.

Here in this statement the justification is also the Distance Fromula, so we take the distance from
`(0,0) \ to \ (1,√(2))` whose result is also 2 and is the radius of the circle.