always
always
A square IS a special case of a parallelogram.
none of these answers are correct
A parallelogram with equal sides is always a rhombus, could be a rectangle, and could also be a square.
Yes: it could also be a rhomboid, rhombus, or a square.
Although it is unusual to identify a square by three characters, the answer to the question is ALWAYS.
no
No, rhombus refers to its shape, not the fact that is has four equal sides. You could call a rhombus an equilateral parallelogram by why would you want to? Also, would you then call a square a rhombic rectangle?
Every square, rectangle, and rhombus is also a parallelogram.
A parallelogram is also a square, rhombus, and rectangle.
A rhombus. (Could also be a square if there's a 90o angle)
Opposite sides of a parallelogram are equal. So ab = dc and ad = bc. But you are also told that ab = bc. So all four sides are equal. Opposite angles of a parallelogram are equal. So abc =90 degrees implies that cda is 90 degrees. The remaining two angles add up to 360 - (abc + cda) = 180 degrees and both are equal. So they, too , must be 90 degrees each. So all four angles are equal. A parallelogram with four equal sides and four equal angles is called a square.