Question

$△EFG\cong △LMN$
Write the corresponding vertices, angles and sides of the two triangles.

Answer 1

Given : $△EFG\cong △LMN$

We are asked to find the corresponding vertices, angles sides of the two triangle.

We already know that the two triangles are congruent.

From the diagram, we can say that in $△EFG\&△LMN$:

$\Rightarrow FG=MN$

$EG=LN$

$EF=LM$

Hence, side corresponding to $FG,EGandEF$ is $MN,LNandLM$ respectively.

Now, again in $△EFG\&△LMN$

$\angle FEG=\angle NLM$

$\angle EGF=\angle LNM$

$\angle EFG=\angle NML$

Hence, angle corresponding to $\angle FEG,\angle EGFand\angle EFG$ is $\angle NLM,\angle LNMand\angle NML$ respectively.

Hence, vertex corresponding to $E,FandG$ is $L,MandN$ respectively.