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What is the common intersection of the angle bisectors of a triangle.?
The common intersection of the angle bisectors of a triangle is called the incenter. It is the center of the inscribed circle of the triangle, and is equidistant from the three sides of the triangle.
An angle that opens to the interior of the circle from a vertex on the circle?
This is the definition of an inscribed angle in geometry. An inscribed angle is formed by two chords in a circle that also share a common point called the vertex.
Explain the difference between a central angle and an inscribed angle?
A central angle has its vertex at the center of a circle, and two radii form the Arms. Central angle AOC is described as subtended by the chords AC and by the arc AC. An inscribed angle has its vertex on the circle, and two chords form the arms. Inscribed angle ABC is also described as subtended by the chord AC and by the arc AC.
Will an inscribed angle always have its vertex on the circle?
Yes all inscribed angles in a circle have their vertex on the circumference of the circle. Central angles have their vertex at the center of the circle.
What is the angle inscribed in a semicircle?
It is a right angle.
