Question

Suppose △ABC≅△LMN .

Which other congruency statements are correct?



Select each correct answer.


△BAC≅△MLN

△CBA≅△MNL

△BCA≅△NML

△ACB≅△LNM

Answer 1

Answer: The correct option are 1 and 4 .

Step-by-step 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.