Note:
The specification states that Junior Cycle students should be able to:
b) recall and use the concepts, axioms, theorems, corollaries and converses, specified in Geometry for Post-Primary School Mathematics (section 9 for OL and section 10 for HL)
  i.) axioms 1, 2, 3, 4 and 5
  ii.) theorems 1, 2, 3, 4, 5, 6, 9, 10, 13, 14, 15 and 11, 12, 19, and appropriate converses, including relevant      operations involving square roots
  iii.) corollaries 3, 4 and 1, 2, 5 and appropriate converses

The LC Maths syllabus states that OL students should be able to:
- Investigate theorems 7, 8, 11, 12, 13, 16, 17, 18, 20, 21 and corollary 6 (see Geometry for Post-primary School Mathematics) and use them to solve problems .

In addition, students working at HL should be able to:
- Prove theorems 11,12,13, concerning ratios (see Geometry for Post-primary School Mathematics), which lay the proper foundation for the proof of the theorem of Pythagoras studied at junior cycle