Twin Triangles? Could be Cousins.

Geometry Level 4

Consider the following two statements about two triangles:

\(P:\) Two Triangles have equal area, and two sides of one are equal to two sides of the other.

\(Q: \)They are congruent.

Which of the following statements is true?

(A) P is necessary and sufficient for Q.

(B) P is necessary but not sufficient for Q.

(C) P is sufficient but not necessary for Q.

(D) P is neither necessary nor sufficient for Q.


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