Determine if each of the following statements are true or false. If false, explain why. a. Two intersecting lines are coplanar. b. Three noncollinear points are always coplanar. c. Two planes can intersect in exactly one point. d. A line segment contains an infinite number of points. e. The union of two rays is always a line. a. Choose the correct answer below. A. The statement is true. B. The statement is false because the two lines could be parallel. C. The statement is false because the two lines could be coplanar or they could be noncoplanar. D. The statement is false because the two lines could be skew lines and would be noncoplanar.
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- Statement: Two intersecting lines are coplanar. - Explanation: Two lines that intersect must lie in the same plane, as a plane can be defined by two intersecting lines. - Conclusion: The statement is true. Show more…
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