High School

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The figure shows the construction of a line tangent to a circle from a point on the circle

From the diagram, which statement is true?



A. line PQ~=line PR

B. line OP~= line QR

C. P is the midpoint of line OR

D. OQ + QP = QP + PR

The figure shows the construction of a line tangent to a circle from a point on the circle From the diagram which statement is true

Answer :

The correct statement is line OP is not equal to line PR

What is tangent of a circle?

A tangent to a circle is a line which intersects the circle at only one point. The common point between the tangent and the circle are called the point of contact.

Line OP is the radius of the circle. and there is a law in circle geometry that states that angle between a radius and a tangent is 90°

Line PQ is bisected into two. This is shown by the arc. Therefore since the line is bisected into two at point P. PS is the bisector.

Therefore we can say that OP is not equal to PR but PR is equal to PQ.

Therefore the correct statement is line OP is not equal to line PR.

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