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ASA Criteria for Congruency

ii In the giv...

Question

Question 152 (ii)

In the given figure, $∠ 1 = ∠ 2$ and $∠ 3 = ∠ 4$
Show that AD = AB and CD = CB

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Solution

$∠ 1 = ∠ 2$ [ given ]
$∠ 3 = ∠ 4$ [given ]
AC = AC [ Common side ]
By ASA congruence criterion, $Δ A D C ≅ Δ A B C$

AD = AB [by CPCT]
CD = CB [by CPCT]

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ASA Criteria for Congruency

Standard VII Mathematics

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