Question

geometry with data analysis ic qtr b young continuous learning center - credit bearing (tutor)
isosceles triangles
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 an acute triangle.
it will be an equilateral triangle.
it will be a right triangle.
it will be an isosceles triangle.
quiz
mark and return
9 of 10
save & exit
next

Explanation:

Step1: Recall the property of perpendicular bisector

A point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Step2: Analyze the triangle formed

Since \(RT\) is the perpendicular bisector of \(UV\), for any point \(P\) on \(RT\) (other than \(S\)), \(PU = PV\).

Step3: Determine the type of triangle

A triangle with two equal sides (\(PU = PV\)) is an isosceles triangle.

Answer:

It will be an isosceles triangle.