Question

In each of the following parts, draw a rough figure, mark the measurements and examine whether the two triangles are congruent or not by using SAS congruence rule. If the triangles are congruent, write them in symbolic form.

$∆ABC$
$AB=4.5cm,AC=4cm,\angle A=60°$

$∆DEF$
$DE=4cm,FD=4.5cm,\angle D=55°$

Answer 1

Step 1: Drawing the rough figure

Step 2: Checking the congruency

In $∆ABC$ and $∆DFE$

From the figure,

$CA=ED$

$\angle A\ne \angle D$

$AB=DF$

Since, the included angle of the equal corresponding sides are not equal

Therefore, $∆ABC$ is not congruent to $∆DFE$