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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.

Respuesta :

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.

A counterexample to the faulty definition will be that A six-sided figure can have four sides congruent.

  • It should be noted that a rectangle has four sides while there are some triangles that have all their sides congruent and a square has four congruent angles as well.

  • The statement that a six-sided figure can have four sides congruent is the correct option.

In conclusion, the correct option is A.

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https://brainly.com/question/3452116

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