Question

State the following statement is True or False
Two equilateral triangles with their sides equal are always congruent

• A. True
• B. False

Answer 1

The correct option is A True

Two equilateral triangle with equal sides are always congruent .

Consider two triangles $ABC$ and $DEF$ with sides $AB$ and $DE$ equal.

$AB=DE$

But because they are equilateral; other two pairs of sides are also equal.

$BC=EF$

$AC=DF$

$\therefore △ABC\cong △DEF$ by $SSS$ congruency criteria.

So, the statement is true.