Question

write a false converse. choose the correct answer below. a. if a triangle has all sides equal, then it is an equilateral triangle. b. if a shape is a square, then it is a four - sided polygon. c. if two sides of a triangle are equal, then it is an equilateral triangle. d. if two angles of a triangle are equal, then two sides of the triangle are equal.

Explanation:

A conditional statement "if p then q" has a converse "if q then p". For a true conditional, the converse may be false. In option A, the converse of "if a triangle has all sides equal then it is an equilateral triangle" (which is a true conditional) is true. In option B, the converse of "if a shape is a square then it is a four - sided polygon" is true. In option C, the converse of "if two sides of a triangle are equal then it is an equilateral triangle" is false because a triangle with two equal sides is isosceles, not necessarily equilateral. In option D, the converse of "if two angles of a triangle are equal then two sides are equal" is the Isosceles - Triangle Theorem converse and is true.

Answer:

C. If two sides of a triangle are equal, then it is an equilateral triangle.