HS.G.4

Logic and Proof: Students will use geometric definitions and theorems to reason abstractly and quantitatively.

HS.G.4.aKnow and use definitions to make deductions in mathematical argumentation (e.g., syllogism, detachment).HS.G.4.bEvaluate the validity of conditional statements, including biconditional statements (e.g., conditional, converse, contrapositive, inverse).HS.G.4.cEvaluate the validity of an argument communicated in different ways (e.g., a flow format, two- column, paragraph format).HS.G.4.dUse coordinate geometry to prove triangles are right, acute, obtuse, isosceles, equilateral, or scalene.HS.G.4.eProve and apply geometric properties and theorems regarding triangles, congruence, and similarity using deductive reasoning.HS.G.4.fProve and apply geometric theorems about quadrilaterals using deductive reasoning.
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