A chord is a segment that connects two points on a circle.
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A chord is a segment that connects two points on a circle.
To determine the truth of the statement, we must consider the precise definition of a chord in the context of circle geometry:
A chord is specifically defined as a line segment whose endpoints both lie on a circle. This segment connects two distinct points on the circumference of the circle. This definition highlights the role of the chord as a geometric entity within the circle.
Given this definition, we evaluate the statement: "A chord is a segment that connects two points on a circle."
The provided statement accurately describes the nature of a chord. The endpoints of the segment must be on the circle, thus aligning perfectly with the standard definition of a chord.
Therefore, the statement is True.
True
Is there sufficient data to determine that
\( GH=AB \)
A diameter is a special type of chord that passes through the center of the circle. All diameters are chords, but not all chords are diameters!
No! A chord must have both endpoints on the circle. If any part extends outside, it's not a chord but a different type of line segment.
Not at all! A radius goes from the center to one point on the circle, while a chord connects two points on the circumference without necessarily touching the center.
Technically, there's no shortest chord since you can make them infinitely small. However, the longest chord is always the diameter!
Simply check: Are both points on the circle's edge? If yes, then the line segment connecting them is definitely a chord.
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