Download Theorem, Proof, Axiom, Corollary, Converse, Implies (Click to

Important MUST KNOW keywords in Geometry
Axiom: An Axiom is a statement accepted without a proof.
Example: There is exactly one line through any two given points.
Theorem: A theorem is a statement that can be shown to be true through the use of axioms and
logical steps.
Example: Thereom 6 - Each exterior angle of a triangle is equal to the sum of the interior opposite
angles.
Corollary: A corollary follows after a theorem and is a statement that has been proven and follows
obviously from it.
Example: Corollary 1 – A diagonal divides a parallelogram into two congruent triangles
Converse of a Theorem: is the opposite or the reverse of a theorem.
Example: In an isosceles triangle the angles opposite the equal sides are equal….Conversly, if two
angles in a triangle are equal then the triangle is isosceles.
False Converse: If a figure is a square, then it is a quadrilateral.
Converse: If a figure is a quadrilateral then it’s a square (false).
Implies: Implies means that when one result is established, another result follows logically from it.
Symbol for implies =>