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Contenido principal

STANDARDS

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Math

Indiana Math

Geometry: Geometry Foundations

G.GF.1

Not covered
Describe the structure of and relationships within an axiomatic system (undefined terms, definitions, axioms and postulates, methods of reasoning, and theorems) and explain differences among supporting evidence, counterexamples, and actual proofs. (E)
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G.GF.2

Not covered
State, use, and examine the validity of the converse, inverse, and contrapositive of conditional (“if – then”) and bi-conditional (“if and only if”) statements.
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G.GF.3

Mostly covered
Develop geometric proofs, including those involving coordinate geometry, using two-column, paragraph, and flow chart formats.

G.GF.4

Not covered
Prove, construct, and apply theorems about parallel and perpendicular lines, parallel lines and transversals, vertical angles, and perpendicular bisectors. (E)
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G.GF.5

Fully covered
Determine if a pair of lines are parallel, perpendicular, or neither by comparing the slopes in coordinate graphs and equations. (E)

G.GF.6

Not covered
Use tools to explain and justify the process to construct congruent segments and angles, angle bisectors, perpendicular bisectors, altitudes, medians, parallel and perpendicular lines, and parallel lines and transversals.
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G.GF.7

Mostly covered
Develop the distance formula using the Pythagorean Theorem. Find the lengths and midpoints of line segments in the two-dimensional coordinate system. (E)