Is the following statement and converse true? Yf a triangle is equilateral, then it is isosceles. Yes, both are true No, neither are true. Converse is true, statement is not Statement is true, converse is not true

Absolutely! The statement "If a triangle is equilateral, then it is isosceles" is true. This is because an equilateral triangle has all three sides equal, which fits the definition of an isosceles triangle (at least two sides being equal). As for the converse, "If a triangle is isosceles, then it is equilateral" is not true; an isosceles triangle can have two sides equal and the third side different. So, the correct answer is: Statement is true, converse is not true! Understanding these properties can be super handy in geometry, especially when you're proving theorems or solving problems. A great way to remember is that all equilateral triangles are isosceles, but not all isosceles triangles are equilateral – a classic example of how mathematical definitions can twist and turn!