Using the mid-point concept, it is found that point B is located at coordinates (-6.5, 0).
<h3>What is the midpoint concept?</h3>
The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.
The center is the midpoint of the two coordinates of the diameter, hence:

For the x-coordinate:

x + 0.5 = -6
x = -6.5
For the y-coordinate:

y + 6 = 6
y = 0
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The angle of rotation of triangle ABC to A'B'C is 105°
<h3>How to illustrate the information?</h3>
It should be noted that the rotation from ABC to A'B'C is in a clockwise direction.
Point B is also on the x axis and point B' is in the second quadrant.
In this case, the angle that depicts the second quadrant is 105°.
In conclusion, the correct option is D.
The complete question is:
Triangle A’ B’ C’ is the image of A B C under a rotation about the origin, (0,0)
Determine the angle of rotation
A. -105 degrees
B. -75 degrees
C. 75 degrees
D. 105 degrees
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Answer:
yes the sides of a triangle can have all those sides