the correct option is:
<em>"The distance from the origin to point A is equal to the radius of circle P. Therefore, point A lies on circle P."</em>
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<h3>Which of the following statements can be used to construct an algebraic proof the point A lies on circle P?</h3>
A circle is defined as the set of equidistant points to a given point which is the center of the circle.
That distance to the center is called the radius.
Here, the center is at the point (0, 0), also called the origin, so if the distance between the point A and the origin, then point A lies on top of the circle P.
From that, we conclude that the correct option is:
<em>"The distance from the origin to point A is equal to the radius of circle P. Therefore, point A lies on circle P."</em>
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That is the only proof that we can (and should) use to prove that a point lies on a circle.
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If you want to learn more about circles:
<em>brainly.com/question/1559324</em>
<em>#SPJ1</em>
