provide a counterexample to show that each statement is false.
a) if a four sided figure has four congruent sides, then it has for right angles.
at first i thought of a trapezoid proves that wrong but then i remembered only 2 sides have to be congruent for that.
http://www.mathwords.com/c/congruent.htm
oh its a rhombus! Thank you!
You're welcome. :-)
any four-sided polygon is a square? Counterexample
tg5g2
To provide a counterexample to show that the statement "If a four-sided figure has four congruent sides, then it has four right angles" is false, we need to find a specific four-sided figure with four congruent sides but does not have four right angles.
One example of such a figure is a rhombus. A rhombus is a quadrilateral with four congruent sides, but its angles are not necessarily right angles. In a rhombus, the opposite angles are equal, but they are not all 90 degrees.
Therefore, a rhombus serves as a counterexample to the statement, demonstrating that not all four-sided figures with four congruent sides have four right angles.