Question

VX¯¯¯¯¯¯¯¯
is a perpendicular bisector of ST¯¯¯¯¯¯¯
with X being a point on ST¯¯¯¯¯¯¯
. Segments are drawn to connect V and S and V and T.

What can you conclude about the triangle drawn? Mark ALL that apply.

Responses

XS ¯¯¯¯¯¯¯¯¯≅XT¯¯¯¯¯¯¯¯
XS ¯¯¯¯¯¯¯¯¯≅XT¯¯¯¯¯¯¯¯
- no response given

Triangle SVT is an isosceles triangle
Triangle SVT is an isosceles triangle - no response given

Triangle SVT is an equilateral triangle
Triangle SVT is an equilateral triangle - no response given

VT¯¯¯¯¯¯¯≅VS¯¯¯¯¯¯¯

Answer 1

Correct choices:
- XS ≅ XT — X is the midpoint of ST because VX is a bisector of ST.
- VT ≅ VS — Any point (V) on the perpendicular bisector is equidistant from S and T.
- Triangle SVT is an isosceles triangle — VS = VT, so two sides of triangle SVT are congruent.

Not true: Triangle SVT is equilateral (no information that all three sides are equal).