Question

Use the image to answer the question.

A circle has a center point upper C. Points upper D, upper E, upper F and upper G lie on the circumference of the circle.

If C
is the center of the circle and DE
is perpendicular to FG
, then what can be determined about FH
?

(1 point)
Responses

FH=12DE
upper F upper H equals Start Fraction 1 over 2 End Fraction upper D upper E

FH=CH+HE
upper F upper H equals upper C upper H plus upper H upper E

FH=HG
upper F upper H equals upper H upper G

FH=CF

Answer 1

FH = HG

Reason: DE passes through the center C, so DE is a diameter and is perpendicular to chord FG. A diameter (or radius) perpendicular to a chord bisects that chord, so H is the midpoint of FG and FH = HG.