Question

All rectangles are rhombuses. True/False

Answer 1

Answer:

False.

Step-by-step explanation:

The definition of a rectangle is that it has 2 pairs of congruent opposite sides.

When a rhombus has to be equal in ALL sides.

Another proof is that a rectangle have 4 90 degree angles.
Whilst a rhombus DOES not have a single right angle no matter the case.

A more advanced proof would be if the diagonals would be perpendicular or if the diagonals would bisect two angles of a rhombus.
Whilst a rectangle’s diagonal are only congruent, not neccisalry perpendicular or bisects two angles.

Answer 2

Answer: True

Step-by-step explanation: A rectangle is a parallelogram with all its interior angles being 90 degrees. A rhombus is a parallelogram with all its sides equal. This means that for a rectangle to be a rhombus, its sides must be equal.

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