in the diagram, AB=BC=CD=DA
prove that triangle ADB is congruent to triangle CDB
Congruent triangles are similar triangles.
Triangles ADB and CDB are congruent by SSS postulate
From the diagram, we have the following congruent sides
Triangles ADB and CDB have a common side at BD.
This means that:
[tex]\mathbf{BD \cong BD}[/tex]
The above highlights mean that:
The three sides of the triangles are congruent.
Hence, the triangles are congruent by SSS
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