Question

1. what is the converse of the following statement? if ( \triangle abc ) is equilateral, then it is isosceles. if ( \triangle abc ) is isosceles, then it is equilateral. if ( \triangle abc ) is not equilateral, then it is not isosceles. if ( \triangle abc ) is not isosceles, then it is not equilateral. if ( \triangle abc ) is equilateral, then it is isosceles.

Explanation:

The converse of a conditional statement "If \(p\), then \(q\)" is "If \(q\), then \(p\)". Here, \(p = \triangle ABC\) is equilateral and \(q=\triangle ABC\) is isosceles. So the converse swaps \(p\) and \(q\).

Answer:

If \(\triangle ABC\) is isosceles, then it is equilateral.