Not always unless it is the diameter of a circle which is its largest chord
Yes, congruent central angles in a circle have congruent chords. This is because the length of a chord is determined by the angle subtended at the center of the circle; when two central angles are equal, the arcs they subtend are also equal, leading to chords of the same length. Thus, congruent central angles correspond to congruent chords.
If two chords in a circle are congruent, then they are equidistant from the center of the circle. This means that the perpendicular distance from the center to each chord is the same. Additionally, congruent chords subtend equal angles at the center of the circle.
They are arcs of congruent circles.
Nothing special. You have two line segments with equal lengths. That's all.
Not unless the chords are both diameters.
Yes, congruent central angles in a circle have congruent chords. This is because the length of a chord is determined by the angle subtended at the center of the circle; when two central angles are equal, the arcs they subtend are also equal, leading to chords of the same length. Thus, congruent central angles correspond to congruent chords.
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 congruent, then they are equidistant from the center of the circle. This means that the perpendicular distance from the center to each chord is the same. Additionally, congruent chords subtend equal angles at the center of the circle.
They are arcs of congruent circles.
Only if they belong to congruent circles.
The same sizes
Yes, intersecting chords do form a pair of congruent vertical angles. When two chords intersect, they create two pairs of opposite angles, known as vertical angles. According to the properties of vertical angles, these angles are always congruent to each other. Therefore, the angles formed by intersecting chords are equal in measure.
Nothing special. You have two line segments with equal lengths. That's all.
Not unless the chords are both diameters.
congruent
true
They are equidistant from the center of the circle