Question

if s is the midpoint of line segment PQ and r is the midpoint of PS the prove that RS = 1/4 PQ

Answer 1

Hey mate...... here is your answer......

given that PS=QS.........(1)

QS=1/2PQ.........(2)

and PR=RS

=>2RS=PS.........(3)

from eq(1) PS=QS

. 2RS=QS

RS=QS/2

RS=1/2PQ/2

RS=1/4 PQ. (proved)

Answer 2

PQ=2PS.....1 (since S is midpoint of P&Q)
PS= 2RS....2 (since R is midpoint of P & S)
from 1 &2
PQ=4RS
HENCE
RS=1/4(PQ).