# In figure AB = BC ; BX=BY. Show that AX = CY ; State the Euclid's axiom used.

We have the diagram, Given that, AB = BC …(i)

& BX = BY …(ii)

So, subtract the two equations (i) and (ii),

AB – BX = BC – BY

AX = CY

[Since, from the diagram we can observe that when BX is subtracted from AB, we are left with AX; Similarly, when BY is subtracted from BC, we are left with CY.]

Hence, shown.

This is the result of Euclid’s second axiom that states, if equals are subtracted from equals, then the remainder is also equal.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Know About Euclids Geometry46 mins  Euclid's Fifth Postulate and its Applications36 mins  Euclid's Geometry51 mins  Euclid's Most Interesting Postulate.42 mins  Doubt Session - Introduction to Euclid's Geometry32 mins  Quiz | Imp. Qs. on Coordinate Geometry39 mins  Know How to Solve Complex Geometry Problems!27 mins  NCERT | Introduction to Work39 mins  Coordinate Geometry45 mins  Introduction to Heat45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :