In the quadrilateral ABCD, e is the point on AB, the triangle ade and BCE are equilateral triangles, and the midpoint of AB and bcbdda are pqmn respectively, so we can judge the quadrilateral of pqmn In quadrilateral ABCD, e is the point on AB, triangle ade and BCE are equilateral triangles, and the midpoint of AB, BC, BD and DA are p, Q, m and N respectively. What kind of quadrilateral is pqmn quadrilateral?

In the quadrilateral ABCD, e is the point on AB, the triangle ade and BCE are equilateral triangles, and the midpoint of AB and bcbdda are pqmn respectively, so we can judge the quadrilateral of pqmn In quadrilateral ABCD, e is the point on AB, triangle ade and BCE are equilateral triangles, and the midpoint of AB, BC, BD and DA are p, Q, m and N respectively. What kind of quadrilateral is pqmn quadrilateral?

It is proved that: AE = De, EB = EC ≌ ⊿ AEC ≌ ⊿ DEB ≌ AC = DB ∵ p.q.m ab.bc The midpoint of CD, Da is dB / 2. MQ = BD / 2. NQ = MQ. Npqm is a parallelogram and Mn = AC / 2. That is to say, Mn = NP. Npqm is a diamond