Question

State whether the following statement is true or false:
While stating that two triangles are congruent using a congruence statement, the order of the vertices is very important.

Answer 1

Consider the following triangles:


Here,
$\bullet A$ corresponds to $P$
$\bullet B$ corresponds to $Q$
$\bullet C$ corresponds to $R$.

The correct congruence statement will be,
$△ABC\cong △PQR$.

When two triangles are congruent, they will have three pairs of exactly same corresponding side lengths and three pairs of exactly same corresponding angle measure.

If we donot write the vertices in order, we may be saying two angles (or sides) are congruent, when in fact, they are not congruent.

So, the given statement is $\text{True}$.