Question

Read this statement: “If a triangle is isosceles, then it is equilateral.” What is the converse of the statement?

If a triangle is equilateral, then it is isosceles.
A triangle is equilateral if and only if it is isosceles.
All isosceles triangles are equilateral.
A triangle is isosceles if and only if it is equilateral.

Answer 1

Answer: If a triangle is equilateral, then it is isosceles.

Explanation:

The converse of a conditional statement "if p then q " is written as " if q then p".

i.e. The hypothesis (p) and conclusion (q) in the conditional statement interchange their position to make its converse.

The given conditional statement : If a triangle is isosceles, then it is equilateral.

Here , p= a triangle is isosceles

q= it is equilateral

Then the converse of this statement will be:

If a triangle is equilateral, then it is isosceles.

Answer 2

From the above statement that “If a triangle is isosceles, then it is equilateral" the only thing i can conclude is If a triangle is equilateral, then it is isosceles.