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Congruency of Triangles

ABCD is a tra...

Question

ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Then, AC = BD.

A

True

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B

False

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Solution

The correct option is A True
We observe that,
AB = BA (Common side)
BC = AD (Given)
$∠ B = ∠ A$ (Proved before)
$Δ A B C ≅ Δ B A D$ (SAS congruence rule)
hence, AC = BD (CPCT)

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Congruency of Triangles

Standard IX Mathematics

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