Question 29
Consider a convex quadrilateral $ABCD$, in which $K, L, M, N$ are the midpoints of the sides $AB$, $BC$, $CD$, $DA$ respectively. Suppose
(a) $BD$ bisects $KM$ at $Q$;
(b) $QA = QB = QC = QD$; and
(c) $LK / LM = CD / CB$.
Prove that $ABCD$ is a square.
(a) $BD$ bisects $KM$ at $Q$;
(b) $QA = QB = QC = QD$; and
(c) $LK / LM = CD / CB$.
Prove that $ABCD$ is a square.