true or false. if false give a counterexample

[annad95]

Determine if the conditional statement is true. If false, give a counterexample.
If a figure has four sides, then it is a square

 

[mmm4444bot]

What have you thought about so far, in this exercise?

 

[Mrspi]

Determine if the conditional statement is true. If false, give a counterexample.
If a figure has four sides, then it is a square

What do YOU think about this?

If you can find a situation where the "if" part of this conditional statement is true, but the "then" part is not true, then the conditional statement is false.

The "if" part says "a figure has four sides".

The "then" part says "it is a square".

Can you find a figure with four sides which is NOT a square? If you can, the conditional statement is false, and you can cite the figure you found as a "counterexample".

We don't do homework here. We specifically ask that you show us your work, and tell us where/why you are "stuck."

 

[annad95]

I say the answer is true?

 

[annad95]

Oh I get it, the answer is false because a rectangle has 4 sides and it is not a square. Right?

 

[mmm4444bot]

the answer is false because a rectangle has 4 sides and it is not a square.

Correct, but actually squares are rectangles, too. They happen to have four equal sides, so squares are a special kind of rectangle.

What you're thinking about are the non-square rectangles. So, there is your counterexample. Give dimensions of a rectangle where the width is different than the height.

 

[mmm4444bot]

Here is another counterexample.