Question

In the given triangles, $AF=CD$, which method cannot be used to prove triangles congruent ?

• A. SAS
• B. SSS
• C. RHS
• D. AAS

Answer 1

The correct option is D AAS

Consider $△ABC$ and $△EDF$

$\angle ABC=\angle FED={90}^{\circ }$

$BC=FE$

$AF=CD$ $⟹AF+FC=FC+CD$ $⟹AC=DF$

$AB||ED$ $⟹\angle BAC=\angle FDE$ ..... (Alternate angles)

$\therefore AAS$ postulate proves that the triangles are congruent.