prove that a cyclic parallelogram is a rectangle
Answers
Answered by
1
Step-by-step explanation:
Let quadrilateral PQRS be a cyclic parallelogram.
Therefore by THEOREM ON CYCLIC QUADRILATERAL ,
Angle P + angle R = 180 degree.......1 .
By the definition of a parallelogram ,
PQ || RS ...and ..QR || PS....................2 .
AND
QR = PS .....................................3.
THEREFORE From 1. 2. and 3.
QUADRILATERAL PQRS IS A RECTANGLE.....(BY DEFINITION OF A RECTANGLE)
Answered by
0
Answer:
Step-by-step explanation:
Given,
ABCD is a cyclic parallelogram.
To prove,
ABCD is a rectangle.
Proof:
∠1+∠2=180° ...Opposite angles of a cyclic parallelogram
Also, Opposite angles of a cyclic parallelogram are equal.
Thus,
∠1=∠2
⇒∠1+∠1=180°
⇒∠1=90°
hence proved
hope it helps u
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