CBSE Class 9CBSE
Share
Notifications

View all notifications

In the following figure, if AC = BD, then prove that AB = CD. - CBSE Class 9 - Mathematics

Login
Create free account


      Forgot password?

Question

In the following figure, if AC = BD, then prove that AB = CD.

Solution

From the figure, it can be observed that

AC = AB + BC

BD = BC + CD

It is given that AC = BD

AB + BC = BC + CD ......(1)

According to Euclid’s axiom, when equals are subtracted from equals, the remainders are also equal.

Subtracting BC from equation (1), we obtain

AB + BC − BC = BC + CD − BC

AB = CD

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Class 9 (2018 to Current)
Chapter 5: Introduction to Euclid's Geometry
Ex. 5.10 | Q: 6 | Page no. 86

Video TutorialsVIEW ALL [1]

Solution In the following figure, if AC = BD, then prove that AB = CD. Concept: Euclid’S Definitions, Axioms and Postulates.
S
View in app×