Question

Based on the given properties, evaluate whether $△ABCand△DEF$ are congruent. Given:$BC=6cm,AC=4cm,$
$m\angle B={35}^{\circ },EF=6cm,DF=4cm,$
$m\angle E={35}^{\circ }.$

• A. Congruent
• B. Not congruent
• C. May or may not be congruent
• D. None of the above

Answer 1

The correct option is C May or may not be congruent

Given:
$BC=6cm,AC=4cm,m\angle B={35}^{\circ }$,$EF=6cm,DF=4cm,m\angle E={35}^{\circ }.$

$\underset{–}{Concept:}$ Triangles that follow any of the congruency rules (S.S.S, S.A.S, A.S.A,.A.S, Hypotenuse Leg congruency) are necessarily congruent, but triangles that do not follow any of the rules may or may not be congruent.

Above two triangles are not following any congruency rule, hence, they may or may not be congruent.

$\underset{–}{Remark:}$ A.S.S, A.A.A and S.S.A are not the rules of congruency