Question

$\overleftrightarrow{rt}$ is a perpendicular bisector of $\overline{uv}$. what is true of any triangle created by points u, v, and any point on $\overleftrightarrow{rt}$ other than s? \bigcirc it will be a right triangle. \bigcirc it will be an acute triangle. \bigcirc it will be an equilateral triangle. \bigcirc it will be an isosceles triangle.

Explanation:

A perpendicular bisector of a segment means every point on it is equidistant from the endpoints of the segment. For any point \(P\) on \(\overleftrightarrow{RT}\) (not \(S\)), \(PU = PV\). A triangle with two equal sides is isosceles.

Answer:

It will be an isosceles triangle.