Question

Which statement provides a counterexample to the following faulty definition? A square is a figure with four congruent sides. Question 8 options: A six-sided figure can have four sides congruent. A rectangle has four sides. Some triangles have all sides congruent. A square has four congruent angles.

Answer 1

A square is a figure with 4 congruent sides.

This is telling us that a figure with 4 congruent sides is a square. So we need to find other figures with 4 congruent sides that are not squares.

Since you are given choices you are looking for the choice that gives a figure with 4 congruent sides that is not a square. The correct choice is "A 6-sided figure can have 4 congruent sides"

Answer 2

Answer:

1. The six-sided figure can have 4 sides congruent but is not a square.

Step-by-step explanation:

We are given the statement,

'A square is a figure with four congruent sides'.

It is required to find the statement which is the counter-example for the above statement.

For the counter-example, the statement should hold:

1. The figure has 4 congruent sides

2. The figure is not a square.

According to the options, we see that,

The six-sided figure can have 4 sides congruent but is not a square.

Thus, option 1 is true.