Question$A B C$ is a right isosceles triangle, and point mis the midponit of $\overline{A C}$.
What are the coordinates of the unlabeled points? Drag and drop the correct choices into each box.
0 a $\frac{a}{2}$ 2a
Point $C\left({ }^{r^{-----}} \mathrm{r}_{1}^{------}\right.$

Studdy Solution
Since $M$ is the midpoint and is not labeled, we need to use the properties of the isosceles triangle to determine the coordinates of $C$. Given that $\overline{AC}$ is horizontal, and $\overline{AB}$ is vertical, point $C$ must be at $(a, 0)$ to maintain equal lengths of $a$ for both $\overline{AB}$ and $\overline{AC}$.
The coordinates of point $C$ are:
$$\boxed{(a, 0)}$$