Bright Tutorials Bright Tutorials
CBSE Class 9 Mathematics Question 6 of 7

Introduction to Euclid's Geometry — Question 6

Back to all questions
6
Question

Question 6

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

In figure, if AC = BD, then prove that AB = CD. Explain by drawing the figure. NCERT Class 9 Mathematics CBSE Solutions.
Answer

Given, AC = BD

From figure,

⇒ AB + BC = BC + CD .........(1)

Subtracting BC from both sides in equation (1)

⇒ AB + BC - BC = BC + CD - BC

⇒ AB = CD

Hence, proved that AB = CD.