Geometry Axioms

Geometry axioms is a statement that is not proved or demonstrated but considered to be either self-evident, or subject to necessary decision. Therefore, its truth is taken for published, and serves as a starting point for reducing and inferring other  truths. In mathematics, axiom refers to two related but distinguishable senses: "logical axioms" and "non-logical axioms". In both senses, an axiom is any mathematical statement that works as a starting point from which other statements are logically derived.

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Angles -Geometry axioms:

 Right Angles - All the right angles are congruent in nature.
Straight Angles -All the straight angles are congruent in nature.
Linear Pair -  If two angles are linear, then they are supplementary.
Vertical Angles - All the vertical angles are congruent in nature.
Triangle Sum - The sum of all the three angles in a triangle is 180º.
Rhombus -  If 4 sides of a rhombus are congruent, then it is a parallelogram.
Congruent Supplements - If an angle is supplement, then it is congruent.
Construction - Two or more points form a line.
Sum of two sides - The sum of two sides of a triangle is greater than the third side.
Longest side - The largest side of a triangle is from its largest angle.

Other Axioms - Geometry Axioms:

Reflexive property - It states that a quantity is congruent to itself.
For e.g. p = p.
Symmetric Property -It gives the relation, if p = q then q = p.
Transitive Property - It gives the relation, if p = q and q = r then p = r.
Addition -If equal items are added to equal items, their sums are equal.
Subtraction - If equal items are subtracted from equal items, their differences are equal.
Multiplication - If equal items are multiplied by equal items, their products are equal.
Division - If equal items are divided by equal items, their quotients are equal.
These are the Geometry axioms.