Question

John says that because rhombuses do not have perpendicular sides, they cannot be rectangles. Explain his error in thinking

Answer 1

Even though most rhombuses are not rectangles(their angles are not all 90)
Some are. The only one that is, is a square. It is a rhombus, and it is a rectangle.

Answer 2

For a rhombus to be a rectangle, a quadrilateral must have 4 equal sizes. However, some rhombuses, particularly squares have perpendicular sides and they are also rectangle.

Further Explanation

Therefore, a rhombus can be a rectangle only if all the angles are 90 degree and also a rectangle can be Rhombus only if the sides of the rectangle have equal length.  

A definition of a square also fits for a rectangle and Rhombus, because all the angles are 90 degree in rectangle and in rhombus, all the size has equal length.  

A rectangle has four sides with flat shape and all the angle is a right angle. Since all the sides are equal, a rectangle is called equiangular quadrilateral. It is also called parallelogram due to the fact that all the lines are parallel, a parallelogram is a quadrilateral where the opposite sides are equal and parallel.  

A rhombus has 4 equal straight sides with a flat shape. All the sides of a rhombus have equal length. The opposite sides are equal and parallel. The adjacent sides of a rhombus are supplementary.

Also by definition, all the sides in rhombuses are congruent and it has all the properties of a parallelogram particularly, the parallel sides, opposite angles and consecutive angles

LEARN MORE:

• Marvin says that all rhombuses are squares brainly.com/question/1289560
• What do rectangles and rhombuses have in common brainly.com/question/1929946

KEYWORDS:

• perpendicular sides
• rhombuses
• rectangles
• parallel sides
• parallelogram
• consecutive angles