Question

If any two sides and any angle are congruent in two triangles, then the triangles must be congruent. is it true or false?

Answer 1

Answer:

FALSE

Step-by-step explanation:

To Find: True or False

If any two sides and any angle are congruent in two triangles, then the triangles must be congruent.

It is not always true according to rule of congruence. If two sides are equal then angle between them must be equal for SAS property.

It is false

Total possible congruence for two sides and one angle :  SSA , A-SS,    SAS  

Only three possible property.

SAS is only true for concurrency of triangle.

SSA and A-SS are false for any two side and any one angle.

Please find the attachment for difference in three property.

Hence, The given statement is false.

Answer 2

Well,  It is False. The sides must form the angle, i.e. /_ <- the angle formed, and the two sides must be in this position. its the ASA postulate.


I hope this helps!