Answer:
A rhombus is a rectangle when it has four right angles (or when it is a square).
Step-by-step explanation:
We need to remember that:
- A parallelogram is a quadrilateral with two pairs of parallel sides.
- A rhombus is a parallelogram with four equal sides.
- A rectangle is a parallelogram with four right angles.
- A square is a rectangle with four equal sides.
If we redefine a square like a parallelogram with four equal sides (rhombus) and parallelogram with four right angles (rectangle), then a square is a rectangle and a rhombus at the same time.
We know that if A = C and B = C, then A = B.
We can apply this to the next statements:
- A rhombus with four right angles is a square.
- A rectangle with four equal sides is a square.
- Then, a rhombus with four right angles = a rectangle with four equal sides = square.
Or, a rhombus with four right angles is a rectangle with four equal sides.
Then, a rhombus is a rectangle when it has four right angles, or when it is the same as a square.
Conclusion
A rhombus whose internal angles are all right angles is a rectangle with four equal sides, or a square.
