Prove that quadrilateral formed by intersection of interior angles of a rectangle is a rectangle(step by step)
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Given : ABCD a parallelogram
To Prove : PQRS is a rectangle
DC∣∣AB and DA is a traversal
∴∠A+∠D=180
0
2
1
∠A+
2
1
∠D=90
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⇒∠SAD+∠SDA=90
0
∴∠ASD=90
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∴ By concept of vertical angles
∠ASD=∠PSR=90
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Simillarly we will get
∠PQR=∠QPS=∠QRS=90
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∴PQRS is a rectangle
solution
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