Question

Suppose △ABC≅△LMN .

Answer 1

Answer: The correct option are 1 and 4 .

Explanation:

It is given that $\Delta ABC\cong \Delta LMN$, it means AB = LM, BC=MN, AC=LM, $\angle A=\angle L$, \angle B=\angle M and \angle C=\angle N as shown in the figure.

All the possible way to write $\Delta ABC\cong \Delta LMN$ is given below,

$\Delta ABC\cong \Delta LMN$

$\Delta ACB\cong \Delta LNM$

$\Delta BAC\cong \Delta MLN$

$\Delta BCA\cong \Delta MNL$

$\Delta CAB\cong \Delta NLM$

$\Delta CBA\cong \Delta NML$

So, the correct options are 1 and 4.

According to the second$\Delta CBA\cong \Delta MNL$, it means $\angle C=\angle M$ and $\angle B=\angle N$ which is not exactly true, therefore it is not a correct option.

According to the second$\Delta BCA\cong \Delta NML$, it means $\angle C=\angle M$ and $\angle B=\angle N$ which is not exactly true, therefore it is not a correct option.