Question

Use the image to answer the question.

Four points are plotted on the circumference of a circle and are joined by line segments.

Which of the following statements is true?

(1 point)
Responses

∠FEG≅∠FDG
angle upper F upper E upper G congruent to angle upper F upper D upper G

∠GDF≅∠DGE
angle upper G upper D upper F congruent to angle upper D upper G upper E

∠DFE≅∠GEF
angle upper D upper F upper E congruent to angle upper G upper E upper F

∠FDG≅∠DFE

Answer 1

∠FEG ≅ ∠FDG.

Both are inscribed angles that intercept the same arc FG, and inscribed angles that subtend the same arc are congruent.