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Maths-

General

Easy

Question

If line segments AB and CD bisect each other at O, then using SAS congruence rule prove that ΔAOC ⩭ ΔBOD.

hint Hint:

Find the angles that are equal and hence prove the congruence.

The correct answer is: SAS congruence rule.

From the figure, we have
AO = OB
And, CO = OD
To prove: $straight triangle A O C approximately equal to straight triangle B O D$ (By SAS congruence rule)
AO = OB (given)
CO = OD (given)
$straight angle A O C equals straight angle B O D$ (vertically opposite angles)
$therefore straight triangle A O C approximately equal to straight triangle$ by SAS congruence rule.

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