DE is a perpendicular bisector of FG, and they intersect at point H. which of the following statements are true?
FH≅GH
DH≅EH
∠FDH≅∠DHG
∠DHF≅∠DHG
FG≅DE
The only statement that is true is FH≅GH.
Since DE is a perpendicular bisector of FG, it divides FG into two equal parts, making FH and GH equal in length.
DH≅EH is not necessarily true because the point of intersection H does not necessarily divide the line DE into two equal parts.
∠FDH and ∠DHG may or may not be equal since they depend on the specific angles formed by the lines DE and FG.
∠DHF and ∠DHG are not necessarily equal since the angles formed by the lines DE and FG can be different.
FG≅DE is not necessarily true since DE is a perpendicular bisector and not necessarily equal in length to FG.