Which geometric construction is shown here? a)construct a circle given 3 pointsb)construct the center of a given circlec)construct the orthocenter of a triangled)construct the tangent to a point on the circle

Option: B is the correct answer.

B) Construct the center of a given circle.

Step-by-step explanation:

The center of the circle is constructed as:

Hence, option B is correct we are given a geometric construction of center of a given circle.

Option B. construct the center of a given circle.

Step-by-step explanation:

To determine the center of a given circle we will follow the following steps

1). We will draw a chord which intersects the circle at A and B.

2). We will construct perpendicular bisector of chord AB.

3). Similarly we will draw another chord CD and construct perpendicular bisector of CD.

4). As we know perpendicular from the center of a circle to any chord, bisects the chord. So we extend the perpendicular bisectors intersecting each other at point E.

Hence the intersection point E will be the center of the circle.

Option B. is the answer.

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step-by-step explanation:

substitute,

circle 1 = 5

circle 2 = 20

circle 3 = 44

in this case no matter how you add, you will always get a perfect square..

hence proved

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