Question

ABCD is a quadrilateral in which P Q R S are midpoint of Ab BC CD and bases a diagonal show that as a parallel AC and SR is equal to 1 upon 2 AC PQ is equal to SR

Answer 1

hey ...
if we see in triangle DAC ,
S and R are the midpoints of DA and DC
by mid point theorem ,
SR ll AC and 1/2 Of AC........eq .1
sim. in triangle ABC
PQ llAC and 1/2 of AC ........eq.2
from equation 1 and 2 we get,
that ,PQ = SR