Question

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

Answer 1

axiom 6/7- Things which are double of the same thing are equal to one another
ox=px
ox=1/2xz
px=1/2xy
px=1/2xz(from 1)
xz=xy
H.P