Decide i the statement is true or false, from the converse, and decide if the converse is true and false. I f both the statement and its converse are true, write a biconditional equivalent to the two statements.

If a triangle is equilateral, then it is isosceles.

Question

Decide i the statement is true or false, from the converse, and decide if the converse is true and false. I f both the statement and its converse are true, write a biconditional equivalent to the two statements.

If a triangle is equilateral, then it is isosceles.

agreene · Answer

This is true in Euclidean Geometry.
Because Equilateral Triangles have 3 sides the same length, Isosceles have atleast 2 sides the same length

The Converse:
If a triangle is isosceles, then it is equalateral
is False because of the above.