Question
1. Draw a Venn Diagram for Euclidean, Neutral and Hyperbolic Geometry. Place at least two statements in each category. For each statement in the Euclidean
1. Draw a Venn Diagram for Euclidean, Neutral and Hyperbolic Geometry. Place at least two statements in each category. For each statement in the Euclidean only section, draw a sketch in the Hyperbolic Half-Plane which illustrates that the statement is not true in Hyperbolic Geometry.
2. Prove in Euclidean geometry that if a quadrilateral has opposite sides congruent then the quadrilateral is a parallelogram.
3. Prove in Euclidean geometry that the diagonals of a rhombus bisect the angles of the rhombus.
4.Prove in Euclidean geometry that the diagonals of a rhombus bisect the angles of the rhombus.
5. Rewrite, the proof that the area of a parallelogram is base times height.
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