Test whether the point is on the unit circle by plugging it into the equation, $x^2+y^2=1$.
$\(\left\)(\(\frac{-\sqrt2}{2}\),\(\frac{-\sqrt2}{2}\]\right\))$

• A. On Unit Circle
• B. NOT on Unit Circle
• C. More information is required

Answer: (A)

Verified step by step guidance

1. Identify the equation of the unit circle, which is given by: $x^2+y^2=1$.
2. Substitute the given point $\left(\frac{-\sqrt{2}}{2},\frac{-\sqrt{2}}{2}\right)$ into the equation.
3. Calculate ${\frac{-\sqrt{2}}{2}}^2$ and ${\frac{-\sqrt{2}}{2}}^2$ separately.
4. Add the results of the squared terms: ${\frac{-\sqrt{2}}{2}}^2+{\frac{-\sqrt{2}}{2}}^2$.
5. Check if the sum equals 1. If it does, the point is on the unit circle; otherwise, it is not.