Question

11. Given a rectangle ABCD and P, Q, R, S are the
mid-points of AB, BC, CD and DA respectively.
Length of diagonal of a rectangle is 8 cm. Then the
quadrilateral PORS is a
(a) parallelogram with adjacent sides 4 cm and
6 cm
(b) rectangle with adjacent sides 4 cm and 6 cm
(c) rhombus with side 4 cm
(d) square with side 4 cm.​

Answer 1

Answer:

(c) rhombus with sides 4 cm

Step-by-step explanation:

P, Q, R, S are the mid-points of AB, BC, CD and DA

PQ, QR, RS and PS are mid-segments and equal to half of diagonals

Therefore, PQRS is the rhombus with sides 4 cm