Question

Part III (3 pts) For cach of the property statement below, determine which geometry would BEST xhoi given property (choose only one!). Please use A. for Euclidean geometry, B. for hypere geometry, gcometry and D. for Neutral geometry for your identifications Example. A There is a triangle in which the sum of the measures of the interior angles is 180. a. The opposite sides of a parallelogram are congruent. b. Similar triangles may not be congruent. Lines perpendicular to the same line are parallel. _d. There exists a rectangle. e. The sum of the measures of a quadrilateral is no more than 360 f. If two lines are intersected by a transversal such that a pair of alternate interior angles formed is congruent, then the lines are parallel g. Lines parallel to the same line are parallel to each other. h. If a line intersects one of two parallel lines, then it intersects the other. --i. The larger a triangle's area, the smaller its angle sum. j. If two lines are intersected by a transversal such that a pair of alternate interior angles formed is congruent, then the lines share a common perpendicular

Answer 1

Solution.

Answer	Question
A	a
A	b
A	c
A	d
A. Triangle angle sum theorem	e
A	f
A	g
A	h
A. Triangle angle sum theorem	i
A. - pons asinorum or bridge of asses theorem	j