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Identify the geometries (Euclidean, hyperbolic, and/or spherical) in which each statement is true.Given a line...

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Identify the geometries (Euclidean, hyperbolic, and/or spherical) in which each statement is true.Given a line and a point, there is a unique line containing the point that is perpendicular to the line.Two lines always intersect in a single point.Given two parallel lines and a transversal, alternate interior angles are necessarily congruent.Given triangles ABC and DEF, if AB = DE, BC = EF, and angle B is congruent to angle E, then triangle ABC is congruent to triangle DEF.

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