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2.1 math talk: which are congruent? each pair of figures is congruent. …

Question

2.1 math talk: which are congruent? each pair of figures is congruent. decide whether each congruence statement is true or false. △abc≅△fed triangle abc is congruent to triangle fed. pzjm≅lyxb quadrilateral pzjm is congruent to quadrilateral lyxb. △jkl≅△qrs triangle jkl is congruent to triangle qrs. abcde≅pqrst 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 $\triangle ABC$ and $\triangle FED$

By comparing side - lengths and angles visually (assuming no measurement data is given but from the orientation and shape), if we match the vertices as per the congruence statement, we can see that they do not match up exactly. So, $\triangle ABC
ot\cong\triangle FED$.

Step3: Analyze $PZJM$ and $LYXB$

By comparing the four - sided figures, matching vertices as per the congruence statement, we can see that they do not have the same shape and size. So, $PZJM
ot\cong LYXB$.

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

By comparing the triangles, matching vertices as per the congruence statement, we can see that they do not match up exactly. So, $\triangle JKL
ot\cong\triangle QRS$.

Step5: Analyze $ABCDE$ and $PQRST$

By comparing the pentagons, matching vertices as per the congruence statement, we can see that they do not have the same shape and size. So, $ABCDE
ot\cong PQRST$.

Answer:

$\triangle ABC
ot\cong\triangle FED$, $PZJM
ot\cong LYXB$, $\triangle JKL
ot\cong\triangle QRS$, $ABCDE
ot\cong PQRST$