Mathematics
A parallelogram ABCD has P the mid-point of DC and Q a point of AC such that CQ = . PQ produced meets BC at R. Prove that : (i) R is the mid-point of BC, (ii) PR = .
Related Questions
L and M are the mid-points of sides AB and DC respectively of parallelogram ABCD. Prove that segments DL and BM trisect diagonal AC.
ABCD is a quadrilateral in which AD = BC. E, F, G and H are the mid-points of AB, BD, CD and AC respectively. Prove that EFGH is a rhombus.

In the given figure, l // m // n and D is mid-point of CE. If AE = 12.6 cm, then BD is :

12.6 cm
25.2 cm
6.3 cm
18.9 cm