State and discuss that validity of the converse, inverse and contrapositive of each of the following statements in Euclidean geometry. If two lines are parallel, they do not interset. If ∠A and ∠B are both right angles, then ∠A ∼= ∠B. Given line m and point A not on line m, there is a circle centered at A that intersects m in at least one point.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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  1. State and discuss that validity of the converse, inverse and contrapositive of each of the following statements in Euclidean geometry.
  1. If two lines are parallel, they do not interset.
  2. If ∠A and ∠B are both right angles, then ∠A = ∠B.
  3. Given line m and point A not on line m, there is a circle centered at A that intersects m in at least one point.
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