gj bisects ∠fgh and is a perpendicular bisector of fh. what is true of triangle fgh? it is a right triangle…

gj bisects ∠fgh and is a perpendicular bisector of fh. what is true of triangle fgh? it is a right triangle. it is an obtuse triangle. it has exactly 2 congruent sides. it has exactly 3 congruent sides.

gj bisects ∠fgh and is a perpendicular bisector of fh. what is true of triangle fgh? it is a right triangle. it is an obtuse triangle. it has exactly 2 congruent sides. it has exactly 3 congruent sides.

Answer

Explanation:

Step1: Analizar las propiedades de la bisectriz y el bisector perpendicular

Dado que $\overline{GJ}$ es bisector perpendicular de $\overline{FH}$, entonces $FJ = JH$ y $\angle FJG=\angle HJG = 90^{\circ}$. Además, $\overline{GJ}$ es común a triángulos $\triangle FJG$ y $\triangle HJG$.

Step2: Aplicar el teorema de congruencia de triángulos

Por el teorema del lado - ángulo - lado (SAS), $\triangle FJG\cong\triangle HJG$. Entonces, $FG = GH$.

Answer:

It has exactly 2 congruent sides.