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Which of these true condition statements has a true converse?

A. If a number is greater than 6, then the number is greater than 4
B. If two lines are coplanar, then the lines lie in the same plane
C. If a number is less than 10, then the number is less than 20

2 Answers

3 votes
B. is the correct answer 
User Chris Chou
by
8.5k points
2 votes

Answer:

B

Explanation:

Let us see the converse of each statement one by one and see whether it holds true.

1) If a number is greater than 6, then the number is greater than 4.

The converse of the above statement will be , if a number is greater than 4 , it is greater than 6.

Which is false.

2).If two lines are coplanar, then the lines lie in the same plane.

The converse is , if the two lines lies in the same plane, they are coplanar. Which is true.

3).If a number is less than 10, then the number is less than 20

The converse is if a number is less than 20, it is less than 10 too. Which is not true.

Hence the only option having true converse is B.

User WoDoSc
by
8.0k points
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