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.