Equilateral triangle abc is rotated x° clockwise about a point o that is not on the triangle to produce triangle a'b'c'. determine whether each statement below is true for all such rotations, true for some such rotations, or not true for any such rotations.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

1/800 is the right answer