rt is a perpendicular bisector of uv. what is true of any triangle created by points u, v, and any point on…
rt is a perpendicular bisector of uv. what is true of any triangle created by points u, v, and any point on rt other than s? it will be a right triangle. it will be an acute triangle. it will be an equilateral triangle. it will be an isosceles triangle.
Answer
Explanation:
Step1: Recall property of perpendicular bisector
A point on the perpendicular bisector of a line - segment is equidistant from the endpoints of the line - segment. Here, $\overrightarrow{RT}$ is the perpendicular bisector of $\overline{UV}$. Let $P$ be any point on $\overrightarrow{RT}$ other than $S$. Then, by the property of the perpendicular bisector, $PU = PV$.
Step2: Define isosceles triangle
An isosceles triangle is a triangle with at least two sides of equal length. Since $PU = PV$ for any point $P$ on $\overrightarrow{RT}$ other than $S$, the triangle $\triangle{UPV}$ has two equal sides.
Answer:
It will be an isosceles triangle.