** Using WeBWorK **

I am using webwork 2.17 and am looking to create some questions containing graphs in tables with multiple choice radio buttons as appears in

Library/NAU/setGraphTheory/FindIsomorphism.pg

This is my first problem of this sort, and I want to make sure I've got a good approach before making more.

In FindIsomorphism.pg, creating the table (containing 3 graphs) with radio buttons relies on the line

($table,$ans) = radio_table([@pics], [0,0,1], geometry => [1,3]);

[0,0,1] means that the 3rd option is correct.  [1,3] means the table has 1 row and 3 columns.

I found the command radio_table in the macro PGnauGraphics.pl which is loaded by PGnauGraphtheory.pl

When I try to use the radio_table command, I ended up with an extra row. Note that I have 4 graphs, not 3. I used the line

($table,$ans) = radio_table([ @image], [@indices], geometry => [2,2], border => 1);

@indices has 1 in the position corresponding to the correct answer and 0 elsewhere. I have some randomization in my problem.  [2,2] means I want a  2x2 table of graphs.

See below for screen shot.

I have attached my code in 12_2_Polish_rtable.pg

I also tried a version of this question according to the guidelines posted at https://webwork.maa.org/wiki/GraphsInTables using popups for selecting the correct graph. See below for a screen shot. I used niceTables.pl and LayoutTable instead of unionTables.pl and BeginTable.

I have attach my code for this version in 12_2_Polish.pg

Now for my questions:

1.  Why am I getting an extra line using radio_table? In the code for radio_table, they use unionTables.pl and BeginTable and AlignedRow.

2. What is the "modern" approach for multiple choice and graphs in tables: using radio_table, or using popups with an appropriately formatted table?
3. If using popups with an appropriately formatted table is the modern approach, which is better for the table: niceTables.pl and LayoutTable or unionTables.pl and BeginTable?

Cindy