Question

If a triangle has an angle greater than 90 degrees, then it is not a right triangle.


State the converse of the conditional statement, and determine whether it is true or false.

Answer 1

the converse is flipping the if and then statements. So if the statement you have is, "If a triangle has an angle greater than 90 degrees, then it is not a right triangle," then flip the if and then statements. If you need more help, just ask.

Answer 2

Let p: If a triangle has an angle greater than 90 degrees
q: then it is not a right triangle.
The converse of p-->q is q --> p.

The converse is:
If a triangle is not a right triangle, then the triangle has an angle greater than 90 degrees.

That (the converse) is false.
A counterexample would be an acute triangle (all angles less than 90).
An acute triangle is not a right triangle but it does NOT have an angle greater than 90 degrees.