Question

in this image, point A is the center of the circle. which two line segments must be equal in length?

A)`bar(AH)`and`bar(BC)`
B)`bar(HI)` and `bar(BC)`
C)`bar(EF)`and `bar(HI)
D)`bar(EF)`and `bar(AI)`

Answer 1

Answer: Choice C) Segment EF and segment HI are the same length

Why is this the answer? Because these two segments are diameters of the same circle. All diameters of a given circle are the same length. A diameter is a segment that goes through the center of the circle and both endpoints are on the edge of the circle itself.