Question

decide whether the congruence statement is true.
$\triangle bcd\cong\triangle cfe$

Explanation:

Step1: Check corresponding sides

In \(\triangle BCD\) and \(\triangle CFE\), \(BC = CE\) (marked with three - line segments), \(CD=CF\) (marked with two - line segments), \(BD
eq FE\) (marked with one - line segment for \(BD\) and one - line segment for \(FE\) but in different triangles, and from the figure, their lengths are not equal).

Step2: Use SSS (Side - Side - Side) congruence criterion

For two triangles to be congruent by SSS, all three pairs of corresponding sides must be equal. Since \(BD
eq FE\), the SSS criterion is not satisfied.

Answer:

no