A circle has its center at the point X, and points A, W, and Y lie on the circle. Which line segment could not be a chord of the circle?

A. XY
B. WY
C. AW
D. AY

Respuesta :

Answer:

  A. XY

Step-by-step explanation:

Circle X with points A, W, and Y on it is shown in the attachment. All of the line segments listed in the answer choices are shown.

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definitions

A segment whose endpoints lie on the circle is called a chord. A segment with one end on the circle and the other end at the circle center is called a radius. A chord that includes the circle center is called a diameter.

application

Segments AW, AY, and WY are chords. Segment XY is a radius, not a chord.

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Additional comment

A circle can be named by the point at its center. This circle has its center at point X, so can be referred to as "circle X."

Here are a few more of the definitions relating to points and chords of a circle. Triangle AWY has its vertices on the circle, so it is an inscribed triangle. It is said to be circumscribed by circle X. The center (X) of the circumscribing circle is referred to as the circumcenter. It is located where the perpendicular bisectors of the chords are coincident.

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