ICSE Class 10 Answered
Q9
Asked by Rayeesa | 04 Jun, 2018, 10:00: PM
Expert Answer
In triangle PQR, a and B are midpoints of PQ and QR respectively.
AB is parallel to PR and 
............Mid point theorem .....(i)
............Mid point theorem .....(i)also,
In triangle PSR,
DC is parallel to PR and 
.........(ii)
.........(ii)DC is parallel to AB and DC = AB.........(iii)
Quadrilateral ABCD is a parallelogram.
AD is parallel to BC and AD = BC.........(iv)
SQ is parallel to BC and SQ = BC......(v)
Diagonals of a rectangle are equal.
PR = QS
From (i), (ii), (iii), (iv) and (v)
AB = BC = CD = AD
Hence, ABCD is a rhombus.
Answered by Sneha shidid | 06 Jun, 2018, 09:46: AM
