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Can there be a finite number of chords that can be created in a circle?
Generally, no. All circles contain an infinite number of chords, as a chord can be created between any two points on the circle. With an infinite number of points on the circle we can create an infinite number of chords.
What can said about two congruent chords in a circle?
They are equidistant from the center of the circle
What Prove that if two chords of a circle bisect each other then the two chords are diameter of the given circle?
If two chords of a circle bisect each other, they must intersect at a point that is equidistant from both endpoints of each chord. By the properties of circles, the perpendicular bisector of any chord passes through the center of the circle. Since the two chords bisect each other at the same point and are both perpendicular to the line connecting their endpoints, this point must also be the center of the circle, making both chords diameters of the circle. Thus, if two chords bisect each other, they are indeed diameters of the circle.
How are lengths of intersecting chords related?
If two chords intersect within a circle, the product of the two segments of one chord equals the product of the two segments of the other chord. In short, if two chords intersect in a circle, their length is equal.
What is a true about any two congruent chords in a circle?
They are equidistant from the center of the circle.
What can be said about two congruent chords in a circle?
They are equidistant from the center of the circle !They are equidistant from the center of the circle.
If two chords in a circle are congruent then they are?
The same sizes
Two arcs of a circle are congruent if and only if associated chords are perpendicular?
In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.
If two chords in a circle are equal what can be said about their distance from the center of the circle?
They are congruent They are equidistant from the center of the circle.
How many chords can be a diameter?
There are an infinite number of diameters to any circle...
If two chords are the same distance from the center of a circle they are?
If two chords are the same distance from the center of a circle, they are equal in length. This is due to the property of circles where equal distances from the center to the chords indicate that the chords lie parallel to each other and are congruent. Thus, the relationship between the center and the chords confirms their equality in length.
Two chords that are the same distance from the center of a circle must be?
congruent
