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.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents