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Demonstrate logical reasoning and critical thinking, drawing upon the philosophical foundations of logic.
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Construct rigorous geometrical proofs, enhancing logical and deductive reasoning skills.
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Apply the principles and concepts to real-world situations, emphasizing the practical utility of geometric reasoning in various contexts.
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Demonstrate understanding of synthetic, metric, analytic, and locus geometries by working between them as appropriate.
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Classify undefined terms, defined terms, axioms, theorems, and corollaries in applications and proofs of synthetic and metric geometry theorems regarding lines, angles, triangles, and quadrilaterals.
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Illustrate direct and indirect proofs and proofs by construction.
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Experiment with dynamic geometry software to investigate plane geometry concepts.
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Apply grammar, dialectic, and rhetoric to integrate the topic with Gods revelation through His creation, Moral PhiloSophae, and OrthoDoxia defined through scriptural paideia.