Question

each pair of figures is congruent. decide whether each congruence statement is true or false.
△abc≅△fed
pzjm≅lyxb
triangle abc is congruent to triangle fed.
quadrilateral pzjm is congruent to quadrilateral lyxb.
△jkl≅△qrs
abcde≅pqrst
triangle jkl is congruent to triangle qrs.
pentagon abcde is congruent to pentagon pqrst.

Explanation:

Step1: Check vertex - to - vertex correspondence for congruence

For congruent figures, vertices must match correctly. In $\triangle ABC\cong\triangle FED$, if we assume the order of vertices matters for congruence statements, we need to check if the sides and angles between corresponding vertices are equal. Looking at the first pair of triangles, if we match the vertices as per the congruence statement, we can see that the orientation and side - angle - side relationships do not match up. So, $\triangle ABC\cong\triangle FED$ is false.
For the quadrilaterals $PZJM\cong LYXB$, the order of vertices in the congruence statement does not match the actual correspondence of the congruent quadrilaterals, so it is false.
For $\triangle JKL\cong\triangle QRS$, the orientation and vertex - to - vertex correspondence does not match the congruence statement, so it is false.
For the pentagons $ABCDE\cong PQRST$, the order of vertices in the congruence statement does not match the actual congruent pentagons, so it is false.

Answer:

$\triangle ABC\cong\triangle FED$ is false.
$PZJM\cong LYXB$ is false.
$\triangle JKL\cong\triangle QRS$ is false.
$ABCDE\cong PQRST$ is false.