# I prove that, the

Given, AB and CD are Diameters.

To prove: OA = OB, OC = OD

Construction: Point D joined with B, Point A joined with C.

DAC = 900 (Rectangle)

ACB = 900 (Rectangle)

CBD = 900 (Rectangle)

BDA = 900 (Rectangle)

ACBD is Rectangle, So AD = CB, AD BCand BD = AC,BD AC

In OCB and ODA

OCB = ODA (Interior angles, BC AD)

BCA SA Congruency

In OCB ODA

Hence Using CPCT, OA = OB, OD = OC

Hence Proved.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 :

Ab and CD are twoWest Bengal Board - Mathematics

The length of a rWest Bengal Board - Mathematics

The lengths of twWest Bengal Board - Mathematics

Let us fill in thWest Bengal Board - Mathematics

The length of a dWest Bengal Board - Mathematics

The lengths of twWest Bengal Board - Mathematics

The length of a cWest Bengal Board - Mathematics

The two circles wWest Bengal Board - Mathematics

Let us write TrueWest Bengal Board - Mathematics

The centre of twoWest Bengal Board - Mathematics