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What are two minor arcs that are congruent with corresponding chords?
They are arcs of congruent circles.
When chords intersect in a circle are the vertical angles formed intercept congruent arcs?
Not unless the chords are both diameters.
Measure of an angle formed by intersecting chords is half the sum of measures of the intercepted arcs?
true
What is the measure of the angle formed by 2 chords intersecting within a circle if the opposite arcs they intercept are 90 and 130?
15pi. after you add.
Do Congruent central angles have congruent chords?
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.
What are two minor arcs that are congruent with corresponding chords?
They are arcs of congruent circles.
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.
When chords intersect in a circle are the vertical angles formed intercept congruent arcs?
Not unless the chords are both diameters.
Are the corresponding chords of two congruent arcs are equal?
Only if they belong to congruent circles.
Measure of an angle formed by intersecting chords is half the sum of measures of the intercepted arcs?
true
What is an arc part of?
Arcs are part of a circumference of a circle cut into pieces by chords, tangents, secants, etc.
The measure of an angle formed by intersecting chords is of the sum of the measures of the intercepted arcs?
It is the measure of half the intercepted arc.
When chords intersect in a circle the vertical angles formed intercept conruent arcs always sometimes never?
Sometimes
What is the measure of the angle formed by 2 chords intersecting within a circle if the opposite arcs they intercept are 90 and 130?
15pi. after you add.
Do Congruent central angles have congruent chords?
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.
Are the corresponding arcs of two congruent chords equal?
If they're in the same circle or in circles of equal radii (radiuses), then yes.
What is the measure of angle abc in a circle 134 degrees?
In a circle, the measure of an angle formed by two chords that intersect at a point inside the circle is equal to the average of the measures of the arcs intercepted by the angle. If angle ABC measures 134 degrees, it means that the angle is formed by the intersection of two chords, and the measure of the arcs it intercepts will average to this angle. Thus, angle ABC is 134 degrees.
