3. In Fig. 13.12, are line segments AB and CD congruent? C. С А B -D Ꭰ
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Solution
Let, this be figure of given condition.
In figure, line segments AB and CD bisect each other at O.
So, O is midpoint of CD and AB
Therefore,
OC=OD
OB=OA
and ∠AOC≅∠BOD⋯⋯[vertically opposite angles]
Hence, by SAS test we can say that
ΔAOC≅ΔBOD
So, yes two triangles are congruent.
Congruence condition used is SAS
Above written two pairs of equal sides and one pair of equal angles are three equality relations of matching parts used to arrive at answer
Step-by-step explanation:
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