Learning Resources

Investigation 1: Chords

Test yourself (solutions)

1. Converse:  If x is divisible by 5, then x is divisible by 10.  
   The converse is not true since 25 is divisible by 5 but is not divisible by 10.
   
2. Converse: If a triangle has two equal sides, then it is isosceles. 
   This converse is true. The "iff" statement for it is:
   A triangle is isosceles iff it has two equal sides.
   
3. Converse: If the chords of two different circles are equidistant from the centres of the circle, then they are congruent. 
   Neither the original statement or its converse are true because we do not know if the circles have the same radius.