Question

ABCD is quadrilateral in which
P, Q, R and S are midpoint of the sides
AB,BC,CD andDA
AC is a diagonal show that:​

Answer 1

Answer:

so very easy answer diagram Mein uski Unki side ke naam dijiye

Answer 2

Answer:

Data: ABCD is a quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA. AC is a diagonal. 

To Prove: (i) SR || AC and SR = 1212AC  (ii) PQ = SR  (iii) PQRS is a parallelogram.

Proof: (i) In ∆ADC, S and R are mid points of AD and DC sides. As per mid-point theorem, 

SR || AC and SR = AC. 

(ii) In ∆ABC, P and Q are mid-points of AB and BC. As per mid-point theorem, 

PQ || AC 

and PQ = 1212AC 

But, SR = 1212AC (Proved) 

∴ PQ = SR 

(iii) PQ = SR (Proved) 

SR || AC

and PQ || AC 

∴ SR || PQ 

Opposite sides of a quadrilateral PQRS are equal and parallel, hence PQRS is a ||gm.

Step-by-step explanation:

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