105k views
4 votes
Suppose △ABC≅△LMN .

Which other congruency statements are correct?



Select each correct answer.


△BAC≅△MLN

△CBA≅△MNL

△BCA≅△NML

△ACB≅△LNM

1 Answer

5 votes

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.

Suppose △ABC≅△LMN . Which other congruency statements are correct? Select each correct-example-1
User Tlink
by
8.1k points