Question

Which statement is true regarding the diagram of circle P? The sum of y and z must be 2x. The sum of y and z must be One-halfx. The difference of z and y must be 2x. The difference of z and y must be One-halfx.

Answer 1

Answer:

The difference of z and y must be 2x.

Answer 2

The statement that will be correct is, the difference of z and y must be 2x, the correct option is C.

What is Angle of Intersecting Secants Theorem?

According to Angle of Intersecting Secants Theorem, If two chords extended as secants intersect outside a circle , then the measure of the angle formed by the secants is half the difference of the measures of the intercepted arcs .

The measure of the intercepted arc is z and y

and the measure of the angle formed is x

According to the theorem, the measure of x = ( z-y) /2

The missing image is attached with the answer.

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