Asked by jm
GJ bisects ∠FGH and is a perpendicular bisector of FH.
Triangle F G H is cut by perpendicular bisector G J. Line segments F J and J H are congruent. Angle F G J and J G H are both 30 degrees.
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.
All Answers 1
Answered by
GPT-5 mini
AI
Answer: It has exactly 3 congruent sides.
Reason: G lies on the perpendicular bisector of FH, so GF = GH. Since ∠FGJ = ∠JGH = 30°, ∠FGH = 60°. With the two sides around G equal and the vertex angle 60°, the base angles are each 60°, so all angles are 60° and the triangle is equilateral — all three sides congruent.
Reason: G lies on the perpendicular bisector of FH, so GF = GH. Since ∠FGJ = ∠JGH = 30°, ∠FGH = 60°. With the two sides around G equal and the vertex angle 60°, the base angles are each 60°, so all angles are 60° and the triangle is equilateral — all three sides congruent.
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