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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.
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If two chords in the circle are congruent then they are?
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.
When chords intersect in a circle are the vertical angles formed intercept congruent arcs?
Not unless the chords are both diameters.
What are two minor arcs that are congruent with corresponding chords?
They are arcs of congruent circles.
What can said about two congruent chords in a circle?
They are equidistant from the center of the circle
Are intersecting chords form a pair of supplementary vertical angles?
Yes, intersecting chords in a circle create a pair of vertical angles, which are always congruent. However, these angles are not supplementary; supplementary angles are those that sum to 180 degrees. Vertical angles formed by intersecting chords are equal to each other, meaning they are not supplementary unless they each measure 90 degrees, which would make them right angles.
Are two chords congruent if and only if the associated central angles are supplementary?
Not true. If the associated central angles are equal, the two chords would be equal.
Do intersecting chords form a pair of congruent vertical angles?
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.
If two chords in the circle are congruent then they are?
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.
Intersecting chords form a pair of congruent vertical angles.?
true
When chords intersect in a circle are the vertical angles formed intercept congruent arcs?
Not unless the chords are both diameters.
Intersecting chords form a pair of congruent are they called vertical angles?
apex= True
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.
What are two minor arcs that are congruent with corresponding chords?
They are arcs of congruent circles.
Are the corresponding chords of two congruent arcs are equal?
Only if they belong to congruent circles.
If two chords of a given circle are congruent then they must?
be equidistant from the center of the circle. APEX!
If two chords in a circle are congruent then they are?
The same sizes
Two chords that are the same distance from the center of a circle must be?
congruent
