In the given figure, AB = DC and BC = AD Find the congruent pair of triangles and the - Maths - Congruence of Triangles

Question

In the given figure, AB = DC and BC = AD Find the congruent pair of
triangles and the property used

( 1 ) △ A B C ≅ △ C D A ,   S S S ( 2 )
△ A B C ≅ △ C D A ,   S A S ( 3 ) △ A
B C ≅ △ C A D ,   S S S ( 4 ) △ A B C
≅ △ D C A ,   S S S

Ankita Agarwal · Accepted Answer

Dear Student,
Given Quadrilateral  ABCDAB=DC, BC=ADSolution:consider ∆ABC and∆CDAside AB=CD (Given)side BC=DA (Given)side AC=AC(Common) hence ∆ABC ≅∆CDA using SSS propertyOption (1) is correct

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In the given figure, AB = DC and BC = AD. Find the congruent pair of triangles and the property used ( 1 ) △ A B C ≅ △ C D A , S S S ( 2 ) △ A B C ≅ △ C D A , S A S ( 3 ) △ A B C ≅ △ C A D , S S S ( 4 ) △ A B C ≅ △ D C A , S S S

In the given figure, AB = DC and BC = AD. Find the congruent pair of triangles and the property used

$(1) △ A B C ≅ △ C D A, S S S (2) △ A B C ≅ △ C D A, S A S (3) △ A B C ≅ △ C A D, S S S (4) △ A B C ≅ △ D C A, S S S$