Question

talk: which are congruent? 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: Recall congruence definition

Two figures are congruent if they have the same shape and size, and corresponding parts are equal.

Step2: Analyze $\triangle ABC\cong\triangle FED$

For $\triangle ABC$ and $\triangle FED$, we need to check if corresponding sides and angles are equal. Without information on side - lengths and angle - measures, assume based on the congruence statement and the fact that the problem states pairs are congruent. The order of vertices matters. If $\triangle ABC\cong\triangle FED$, then $A$ corresponds to $F$, $B$ corresponds to $E$, and $C$ corresponds to $D$. Since we are told the pair is congruent, this statement is True.

Step3: Analyze $PZJM\cong LYXB$

For quadrilaterals $PZJM$ and $LYXB$, the order of vertices gives the corresponding points. Since the problem states the pair is congruent, this statement is True.

Step4: Analyze $\triangle JKL\cong\triangle QRS$

For $\triangle JKL$ and $\triangle QRS$, assuming the given pair is congruent as per the problem condition, and considering the order of vertices for corresponding parts, this statement is True.

Step5: Analyze $ABCDE\cong PQRST$

For pentagons $ABCDE$ and $PQRST$, with the order of vertices indicating corresponding points and given that the pair is congruent in the problem, this statement is True.

Answer:

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