gluon wrote:

In the figure above, is quadrilateral PQRS a parallelogram?

(1) The area of ΔPQS is equal to the area of ΔQRS.

(2) QR = RS

hi

lets consider this logic:

area of a triangle = (1/2) * base * height

now

triangle, (1/2) * 3 * 4 and triangle, (1/2) * 4 * 3 have the same area, but

is it necessary that these two triangles are congruent ? Certainly no

on this line of reasoning, we can conclude that the the answer is straight "E"

please raise your voice if there is anything wrong here

thanks, and cheers with +1