To write down the converse, the inverse, and the contrapositive of statement and determine whether that statement is true or false.
Answer to Problem 6PSB
Converse of a statement is False. Inverse of statement is False. Contrapositive of a statement is True.
Explanation of Solution
Given information:
Every conditional statement “If p, then q” has three other statements associated with it.
By referring to above associated statements, we can write:
Converse: If M, A, and B are collinear, then M is the mid-point of
Inverse: If M is not the mid-point of the
Contrapositive: If M, A, and B are non-collinear, then M is not the mid-point of the
If points are collinear, they lie on same straight line. If M, A, and B are collinear, then M not necessary to be the mid-point of
Non collinear points don’t lie on same straight line. A point cannot be mid-point if it is not on a straight line.
Chapter 1 Solutions
Geometry For Enjoyment And Challenge
Additional Math Textbook Solutions
Algebra and Trigonometry (6th Edition)
Introductory Statistics (2nd Edition)
Basic Business Statistics, Student Value Edition
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Introductory Statistics (10th Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning