True. When two lines intersect, they form vertical angles, and the chords created by these intersecting lines can be considered supplementary if the angles formed by the chords at the intersection add up to 180 degrees. Thus, intersecting chords can indeed correspond to 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.
Not unless the chords are both diameters.
true
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.
yes
false
true
apex= True
Not true. If the associated central angles are equal, the two chords would be equal.
Not unless the chords are both diameters.
Sometimes
true
It is the measure of half the intercepted arc.
yes
yes
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.
There are many angles inside a circle. You have inscribed angles, right angles, and central angles. These angles are formed from using chords, secants, and tangents.