Question

If figure X is inscribed in figure Y, which statement must be true?. . A. Figures X and Y are congruent. B. Figures X and Y are polygons. C. Figure X is circumscribed about figure Y.. D. Figure Y is circumscribed about figure X.. . please give me the best answer.

Answer 1

So my opinion that choice D is right because given that figure x is inscribed in figure y so what mean that figure y is circumscribed about figure x

hope this will help you 

Answer 2

Answer:  The correct option is

(D) Figure Y is circumscribed about figure X.

Step-by-step explanation:  Given that a figure X is inscribed in figure Y.

We are to select the statement that must be TRUE.

We know that

if a figure X is inscribed in a figure Y, then the figure X must be smaller than figure Y.

So, the figures X and Y will not be congruent to each other and thus option (A) is incorrect.

Since a circle can be inscribed in another circle and a circle is not a polygon. So, option (B) is incorrect.

If a figure lies lies inside another figure, then the outer figure is said to be circumscribed about the inner figure.

So, figure Y is circumscribed about figure X.

Therefore, option (C) is incorrect and option (D) is CORRECT.

Thus, (D) is the correct option.