a teacher shows a triangular cut out XYZ to the class. she marked points O and P on sides XY and YZ respectively such that OX= 1/2 XY , PX=1/2XZ and OX=PX show that xy=xz
mention euclid axiom which can be used here

Dear student

Axiom used here is Things which are double of the same thing are equal to one another
Now given: OX=PX
12XY=12XZXY=XZ      OX=12XY and PX=12XZHence proved
Regards

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