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Criteria for Congruence of Triangles
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ABCD is a quadrilateral in which AD = BC
Question
$ABCD$
is a quadrilateral in which
$AD=BC$
and
$∠DAB=∠CBA$
. Prove that
(i)
$△ABD≅△BAC$
(ii)
$BD=AC$
(iii)
$∠ABD=∠BAC$
Medium
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Solution
Verified by Toppr
In
$△ABD$
and
$△BAC$
,
$AD=BC$
(Given)
$∠DAB=∠CBA$
(Given)
$AB=BA$
(Common)
$∴△ABD≅△BAC$
(By SAS congruence rule)
$∴BD=AC$
(By CPCT)
And,
$∠ABD=∠BAC$
(By CPCT)
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Mathematics
NCERT
Exercises 7.1 to 7.5
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