## Geometry

Geometry - The Basics

The 5 Axioms

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The following gives a list of all Theorems, Axioms, Corollaries required for Junior and Leaving Certificate Exams:

The following gives a list of all Constructions required for Junior and Leaving Certificate Exams:

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Theorems 4, 6, 9, 14 and 19

## These are examples of proofs of theorems and are NOT required for Junior Certificate Exam

Theorem 4:

(Angles in a triangle add to 180)

Theorem 6

(Exterior angle = sum of two interior opposite angles)

Theorem 9

(Opposides and angles of a parallelogram are equal)

Theorem 14

(Theorem of Pythagoras)

Theorem 19

(Angle at the centre of a circle = twice angle at the circle)

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**Enlargements**

Enlargment of a triangle

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Transformational Geometry

Translations, Central Symmetry, Axial Symmetry, Rotational Symmetry