Which statement provides a counterexample to the following f

Which statement provides a counterexample to the following faulty definition? A square is a figure with four congruent sides.

A. A six-sided figure can have four sides congruent.

B. Some triangles have all sides congruent.

C. A square has four congruent angles.

D. A rectangle has four sides.

Solution

Given definition is that a square is a figure with four congruent sides, to rephrase this faulty definition says that any figure with four equal sides is a square.

A) A six-sided figure can have four sides congruent.
This provides a perfect counter example to the faulty definition as it gives a contradiction that a six sided figure can also have 4 equal sides.
Hence, Option A is the answer.

The other options do not provide the correct counter example as they do not talk specifically about four congruent sides.

Which statement provides a counterexample to the following faulty definition? A square is a figure with four congruent sides. A. A six-sided figure can have fou

Get Help Now

Submit a Take Down Notice

Tutor
Tutor: Dr Jack
Most rated tutor on our site