Concept explainers
To state: The converse of each statement and state whether it is true or false.
Answer to Problem 16CE
The statement is false.
The converse of the given statement is true and is given below:
A number which is divisible by 2 is also divisible by 8.
Explanation of Solution
Given information:
The given statement is:
"A number is divisible by 2 then, it is divisible by
"A number is divisible by 2 then, it is divisible by
Consider the number 10
It is divisible by 2 but not by 8
Therefore, the statement is false
Consider
The converse is of the form "if
Therefore, the converse of the given statement is
If a number is divisible by
A number which is divisible by 8 is also divisible by 2
Therefore, the converse of the given statement is true.
A number which is divisible by 2 is also divisible by 8 is the required type of statement.
Chapter 2 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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