Geometry Key Words Project Maths Mr McCormack Geometry Definitions 1. Axiom An Axiom is a statement which we accept without proof 2. Theorem A theorem is a rule that has been proved by following a certain number of logical steps 3. Proof A Proof is a series of logical steps which we use to prove a theorem 4. Corollary A Corollary is a statement that follows readily from a previous theorem Mr McCormack Geometry Converse The converse of a theorem is the reverse of the theorem 6. Implies Implies is a term we use in a proof when we can write down a fact we have proved from a previous statement. Symbol is => 7. Transversal A transversal is a line which cuts two or more parallel lines 8. A Vertex A vertex is where two lines meet to form an angle 5. Mr McCormack Geometry Definitions Congruent Triangles Congruent triangles are triangles where all corresponding sides and angles are equal in measure 10. Similar Triangles Similar Triangles or equiangular triangles are triangles that have the same three angles as the other traingle 9. Mr McCormack Circle Definitions Chord A chord is a line that joins any two points on the circle Arc Any part of the circumference of a circle Tangent A line that cuts/touches a circle at one point Mr McCormack exterior interior vertically opposite reflex obtuse acute right angle parallelogram corresponding transversal alternate parallel supplementary * perpendicular angles theorem Geometry 1 chord tangent point of contact proof converse axiom circles corollary triangles scalene perpendicular height right-angled congruent equilateral equiangular isosceles Mr McCormack similar corresponding sides ASA etc.