To answer this question, we need to know the properties of a rhombus, a rectangle, or a square. By the way, they have all the properties of a parallelogram. Then, we have (in this context):
1. Rhombus: they have four congruent sides.
2. Rectangles: they have four right angles.
3. Squares: they have four congruent sides and four right angles.
Having this information into account, we can say that:
First Case:
Figure FGHI has four right angles, and it is a parallelogram. In this case, we have a RECTANGLE. Notice that the four sides are not congruent (only have congruent angles.)
Second Case:
We have a parallelogram with four congruent sides. In this case, we have a RHOMBUS.
Third Case:
We also have four congruent sides. It is also a RHOMBUS (we do not have information about the angles, but it is enough to say that it is a rhombus since it is a parallelogram.)
Four Case:
We have four congruent sides and four right angles. Therefore, we have here a SQUARE.
In summary, we have:
1. First case: RECTANGLE (Figure 1.)
2. Second case: RHOMBUS (Figure 2.)
3. Third case: RHOMBUS (Figure 3.)
4. Fourth case: SQUARE (Figure 4.)
