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.
