Answer the following parts in Plane Geometry: (a) Show that the converse to the alternate interior...

Answer the following parts in Plane Geometry: (a) Show that the converse to the alternate interior angles theorem postulate implies the angle sum postulate in Plane Geometry. (Hint: Check out Euclid Book 1 Prop 32 for the idea, but make sure you write an axiomatic Plane Geometry argument.) (b) Show that the angle sum postulate implies the converse to the alternate interior angles theorem. (Hint: Draw a perpendicular.) (c) Explain why that means you can conclude that the two statements are equivalent to each other in Plane Geometry.

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Colby Messinger answered 10 months ago

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