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Competencies
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Describes a mathematical system
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 inequalities in a triangle
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
Finds the probability of a simple event
Illustrates an experimental probability and a theoretical probability
Solves problems involving probabilities of simple events
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