Math, asked by Anonymous, 1 year ago

Points X and Y lie on opposite sides AB and CD respectively of a parallelogram ABCD such that AX= CY. show that AC and XY bisect each other. Plsss provide d figure too.


Anonymous: Plssss guys!!!!

Answers

Answered by Fullatron
18
We know,
In ΔAXO and ΔCYO ,
AX = CY
<XAO = <YCO  (as AB II DC, AC transversal , alt. int. angles)
<AXO = <CYO  (as AB II DC, XY transversal, alt. int. angles)

Therefore by ASA congruecy,
ΔAXO  ≡  ΔCYO

Thus 
AO = CO     (CPCT)
XO = YO     (CPCT)
                                                          Hence Proved

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