Is square a rhombus or a rhombus a square. Give proof to support your answer
Answers
Answer:
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Step-by-step explanation:
A rhombus is a quadrilateral with all sides equal in length. A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles.
Answer:
All squares are rhombuses, but not all rhombuses are squares.
Step-by-step explanation:
A rhombus is a quadrilateral whose four sides all have the same length.
Since all four sides of a square are equal in length, a square is considered as a rhombus.
But, for a quadrilateral to be a square, all four sides of it have to be equal, as well as all four interior angles of it must be right angles.
So, If a rhombus contains right angles, then it's a square. Because every rhombus doesn't have this property, we can't say that all rhombuses are squares.
But, every square has four equal sides. So we can say that all squares are rhombuses.