Answer Happy

0. . Noah claims that he can construct the two touching circles (they have exactly one point in common) shown in the figure in two different ways; by choosing a point P on the circle with center O and finding its image under a half-turn about P or by translating the circle with center O by twice OP. Consequently, he says that the image of any figure under half-turn can also be achieved by a translation. How do you respond to his conclusion? Choose the correct answer below. O A. This is true for all figures. Suppose ABCD is a rectangle, the image under a half-turn corresponds to CDAB where AB and AD are congruent to CD and CB respectively. OB. This is true for all figures since half-turn is a type of transformation along with a translation. Thus, any image constructed under half-turn can also be constructed by a translation OC. This is not true for any figures. Since rotation is a circular transformation about a point and a translation is a linear transformation, no half-turn transformation would correspond to any linear transformation. D. This is true for a circle but not for all figures. Suppose AABC is a right triangle. The image under half-turn at the vertex with the right angle cannot be obtained by a translation