a. When can you say that a chord is a diameter? b. What is an inscribed angle? How will you know that an angle is inscribed in a circle? c. How will you know that an inscribed angle is a right angle? d. What can you say about the measure of the central angle and its intercepted arc? What about the measure of minor arc and its corresponding major arc? What about the measure of inscribed angle and its intercepted arc?
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a. A chord that passes through the center of a circle
b.the angle formed in the interior of a circle when two chords intersect on the circle.
c.measure of each inscribed angle is exactly half the measure of its intercepted arc.
d.(find it ) There are several different angles associated with circles. Perhaps the one that most immediately comes to mind is the central angle. It is the central angle's ability to sweep through an arc of 360 degrees that determines the number of degrees usually thought of as being contained by a circle.
Central angles are angles formed by any two radii in a circle. The vertex is the center of the circle. In Figure 1, ∠ AOB is a central angle.An arc of a circle is a continuous portion of the circle. It consists of two endpoints and all the points on the circle between these endpoints. The symbol is used to denote an arc. This symbol is written over the endpoints that form the arc. There are three types of arcs:
Semicircle: an arc whose endpoints are the endpoints of a diameter. It is named using three points. The first and third points are the endpoints of the diameter, and the middle point is any point of the arc between the endpoints.
Minor arc: an arc that is less than a semicircle. A minor arc is named by using only the two endpoints of the arc.
Major arc: an arc that is more than a semicircle. It is named by three points. The first and third are the endpoints, and the middle point is any point on the arc between the endpoints.