Question

Write out the operation table for the symmetry groups of the following figures:

b)

Short answer

0	$r_0$	$r_1$
$r_0$	$r_0$	$r_1$
$r_1$	$r_1$	$r_0$

Step-by-step solution

Determine operation table

Consider that, The parallelogram symmetries is there are two pair of side are similar length and two pair of vertical with similar angle are the identity $r_0$and data-custom-editor="chemistry" ${180}^{°}$rotation is $r_1$.

Result

Then the operation table is,

0	$r_0$	$r_1$
$r_0$	$r_0$	$r_1$
$r_1$	$r_1$	$r_0$