Question 1178664


Consider the statement, “If a parallelogram is a square, then it is a rhombus.”

A) Decide whether it is sometimes/always/never true.
If a parallelogram has perpendicular diagonals, you know it is a rhombus

so, {{{always}}} true

B) Write the converse of the statement.

Converse: 
if a parallelogram is a rhombus, then it is a square


C) Decide whether the converse is sometimes/always/never true.

 a) {{{sometimes }}}
(A rhombus is a quadrilateral with all sides equal in length. A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles.)