If DC=AB and AD=BC,PROVE THAT TRIANGLE ABD IS CONGRUENT TO TRIANGLE CBD AND ANGLE ABD=ANGLE CBD - Maths - Congruence of Triangles

Question

If DC=AB and AD=BC,PROVE THAT TRIANGLE ABD IS CONGRUENT TO TRIANGLE
CBD AND ANGLE ABD=ANGLE CBD

Shruti Tyagi · Accepted Answer

Dear student,
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In ∆ABD and ∆CBDDC=AB     --(given)AD=BC     --(given)BC=BC     --(common)∆ABD≅∆CBD   --(SSS property)⇒∠ABD=∠CBD   --(CPCT)

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