How do I print property matrices in Avogadro?
I am not aware of a menu button to print these tables.

There is however a different way to get your hands on the numbers.

Avogadro features objects: molecules, bonds and atoms are instances of classes, whose properties can be read and processed by programming. 
The easiest way is the build-in Python-Terminal. 

(Note that I'm using Avogadro 1.1.1 on Linux in German, your menus will have different labels.)


In Avogadro, open a Python Terminal (In German, this is done via
Einstellungen -> Werkzeugleisten -> Python-Terminal, which should be something like Settings -> Tool bars -> Python terminal


When run in the Python terminal of Avogradro, the following snippet writes 


atom index
atomic number
x, y, z coordinates


for all atoms of the currently opened molecule to a csv file into an existing tmp directory in the user's home.


import os.path  
import csv

home = os.path.expanduser('~')
data_dir = 'tmp'
atom_table_name = 'atoms.csv'
atom_table_path = os.path.join(home, data_dir, atom_table_name)
# generate full path for file with atom data

with open(atom_table_path, 'wt') as fout:
    writer = csv.writer(fout)
    writer.writerow(('Index', 'Atomic number', 'X', 'Y', 'Z'))

    mol = Avogadro.molecule

    for atom in mol.atoms:
        index = atom.index + 1
        x, y, z = atom.pos
        writer.writerow((index, atom.atomicNumber, x, y, z))



EDIT

I mentioned the Python Terminal first because I didn't want to introduce too much different things at once. 

Once you have played a bit with the build-in Python Terminal, you will want to go one step beyond and try a more comfortable IDE with logging, tab-completion, build-in help, etc. My suggestion is to try IPython!

With IPython (or any other IDE of your choice), you can make use of Avogadro through its API without actually running it.

Given that your data file propen.cml looks like this:

&lt;molecule&gt;
 &lt;atomArray&gt;
  &lt;atom id="a1" elementType="C" x3="-6.736896" y3="1.198243" z3="-0.001854"/&gt;
  &lt;atom id="a2" elementType="C" x3="-5.625957" y3="2.233390" z3="-0.108371"/&gt;
  &lt;atom id="a3" elementType="H" x3="-6.748313" y3="0.730420" z3="0.988429"/&gt;
  &lt;atom id="a4" elementType="H" x3="-6.615420" y3="0.408802" z3="-0.751312"/&gt;
  &lt;atom id="a5" elementType="H" x3="-7.710837" y3="1.671184" z3="-0.163704"/&gt;
  &lt;atom id="a6" elementType="C" x3="-4.268024" y3="1.629800" z3="0.106393"/&gt;
  &lt;atom id="a7" elementType="H" x3="-5.801148" y3="3.017025" z3="0.637857"/&gt;
  &lt;atom id="a8" elementType="H" x3="-5.668681" y3="2.695849" z3="-1.101309"/&gt;
  &lt;atom id="a9" elementType="C" x3="-3.137190" y3="2.345874" z3="0.062502"/&gt;
  &lt;atom id="a10" elementType="H" x3="-4.203709" y3="0.562202" z3="0.306350"/&gt;
  &lt;atom id="a11" elementType="H" x3="-3.147760" y3="3.413685" z3="-0.133506"/&gt;
  &lt;atom id="a12" elementType="H" x3="-2.172936" y3="1.873521" z3="0.222912"/&gt;
 &lt;/atomArray&gt;
 &lt;bondArray&gt;
  &lt;bond atomRefs2="a1 a2" order="1"/&gt;
  &lt;bond atomRefs2="a1 a3" order="1"/&gt;
  &lt;bond atomRefs2="a1 a4" order="1"/&gt;
  &lt;bond atomRefs2="a1 a5" order="1"/&gt;
  &lt;bond atomRefs2="a2 a6" order="1"/&gt;
  &lt;bond atomRefs2="a2 a7" order="1"/&gt;
  &lt;bond atomRefs2="a2 a8" order="1"/&gt;
  &lt;bond atomRefs2="a6 a9" order="2"/&gt;
  &lt;bond atomRefs2="a6 a10" order="1"/&gt;
  &lt;bond atomRefs2="a9 a11" order="1"/&gt;
  &lt;bond atomRefs2="a9 a12" order="1"/&gt;
 &lt;/bondArray&gt;
&lt;/molecule&gt;

you can load the CML file and iterate over the bonds to display the index numbers of the atoms in the bond and the bond length using:



import Avogadro as av

mol = av.MoleculeFile.readMolecule('propen.cml')
# don't forget to adjust the path for the data file!

for bond in mol.bonds:
    first = bond.beginAtom
    last = bond.endAtom
    print first.index, last.index, bond.length