determines the relationship between the hypothesis and the conclusion of an if-then statement
transforms a statement into an equivalent if-then statement
determines the inverse, converse, and contrapositive of an if-then statement
illustrates the equivalences of: (a) the statement and its contrapositive; and (b) the converse and inverse of a statement
uses inductive or deductive reasoning in an argument
illustrates the need for an axiomatic structure of a mathematical system in general, and in Geometry in particular: (a) defined terms; (b) undefined terms; (c) postulates; and (d) theorems
illustrates triangle congruence
illustrates the SAS, ASA and SSS congruence postulates
solves corresponding parts of congruent triangles
proves two triangles are congruent
proves statements on triangle congruence
applies triangle congruence to construct perpendicular lines and angle bisectors
illustrates theorems on triangle inequalities (Exterior Angle Inequality Theorem, Triangle Inequality Theorem, Hinge Theorem)
applies theorems on triangle inequalities
proves properties of parallel lines cut by a transversal
determines the conditions under which lines and segments are parallel or perpendicular
illustrates an experiment, outcome, sample space and event
counts the number of occurrences of an outcome in an experiment: (a) table; (b) tree diagram; (c) systematic listing; and (d) fundamental counting principle
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