Question
Question 6(Multiple Choice Worth 1 points)
(01.05 MC)
What is the converse of the following statement?
"If the figure is a triangle, then the figure has three sides."
If the figure has three sides, then the figure is a triangle.
If the figure is a triangle, then the figure can have only three sides.
If the figure does not have three sides, then the figure is not a triangle.
If the figure is not a triangle, then the figure does not have three sides.
(01.05 MC)
What is the converse of the following statement?
"If the figure is a triangle, then the figure has three sides."
If the figure has three sides, then the figure is a triangle.
If the figure is a triangle, then the figure can have only three sides.
If the figure does not have three sides, then the figure is not a triangle.
If the figure is not a triangle, then the figure does not have three sides.
Answers
GPT-4o mini
The converse of a statement is formed by swapping the hypothesis and the conclusion.
For the original statement:
"If the figure is a triangle, then the figure has three sides."
The hypothesis is "the figure is a triangle" and the conclusion is "the figure has three sides."
To find the converse, we swap these:
"If the figure has three sides, then the figure is a triangle."
So, the correct answer is:
**If the figure has three sides, then the figure is a triangle.**
For the original statement:
"If the figure is a triangle, then the figure has three sides."
The hypothesis is "the figure is a triangle" and the conclusion is "the figure has three sides."
To find the converse, we swap these:
"If the figure has three sides, then the figure is a triangle."
So, the correct answer is:
**If the figure has three sides, then the figure is a triangle.**