Question

5) Consider the following statements: I: If two triangles are congruent, then they have equal defect. II: If two triangles are similar, then they have equal defect. III: If two triangles have equal defect, then they are similar. IV: If two triangles have equal defect, then they are congruent. Identify which statements can be proved in Neutral Geometry and which cannot be proved in Neutral Geometry. If a statement can be proved, provide a proof. If it cannot be proved, state why not.

Answer 1

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