Axiom
Axiom is a statement that is accepted as true. It does not require any proof. 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.
Example of an Axiom
Straight Angles: All the straight angles are congruent in nature.
Linear Pair: If two angles are linear, than 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 180ยบ.
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.
Axiom is a statement that is accepted as true. It does not require any proof. 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.
Example of an Axiom
- A line contains infinitely many points.
- Things which are equal to the same things are equal to each other.
Straight Angles: All the straight angles are congruent in nature.
Linear Pair: If two angles are linear, than 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 180ยบ.
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.
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