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Prove the following statement: If P and Q are any points on a circle with center O and radius OA, then OP ∼= OQ.

Question

Prove the following statement: If P and Q are any points on a circle with center O and radius OA, then OP = OQ.

check_circleAnswer
Step 1

Suppose that any two points P and Q lie on the circle centered at O and its radius is OA.

oQ
To prove: OP
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oQ To prove: OP

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Step 2

From given circle, we have O as center ...

By definition ofradius, it is the distance from the center to any point on the circle
Then, A is a point on the circle.
Likewise, as the points Pand Q lie on the circle, the lengths OP and og become the
radius ofthe circle
help_outline

Image Transcriptionclose

By definition ofradius, it is the distance from the center to any point on the circle Then, A is a point on the circle. Likewise, as the points Pand Q lie on the circle, the lengths OP and og become the radius ofthe circle

fullscreen

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