English, asked by varshini56, 1 year ago

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Answered by Anonymous
12
\boxed{ANSWER..}

Given ,

PQ||RS

O is the midpoint of PS.

(i) Show that ∆POQ ~= ∆ROS

In ∆POQ and ∆ROS,

PQ = RS (given)

Angle POQ = Angle ROS (V.O.A)

Angle QPO = Angle RSO (alternate angles)

Therefore ,by ASA criteria ,

∆POQ ~= ∆ROS

Also ,

PO = SO
RO = QO

(By c.p.c.t)

(ii) Since ,QO = RO ,

Therefore , O is the midpoint of QR.

Answered by Anonymous
2
PQ||RS
O is the midpoint of PS.
(i) Show that ∆POQ ~= ∆ROS
PQ = RS 
Angle POQ = Angle ROS
Angle QPO = Angle RSO (alternate angles)
∆POQ ~= ∆ROS
PO = SO
RO = QO 

(By c.p.c.t)

(ii) Since ,QO = RO ,

Therefore , O is the midpoint of QR...

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