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6 Which of the following statements is always true?

A Every rhombus is also a square.
B Every rectangle is also a trapezoid.
C Every rectangle is also a parallelogram.
D Every parallelogram is also a rhombus.

User Djna
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1 Answer

6 votes

C) Every rectangle is also a parallelogram.

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Let's examine each statement one by one, based on the properties of these geometrical shapes:

A) Every rhombus is also a square.

  • This is not always true. A rhombus is a shape that has all sides of equal length, but angles aren't necessarily 90 degrees. A square, however, has all sides of equal length but always has 90-degree angles. So, not every rhombus is a square.


B) Every rectangle is also a trapezoid.

  • This seems possible because a trapezoid simply requires at least one pair of parallel sides, which a rectangle obviously has. However, strictly speaking, in some mathematical conventions, trapezoids are defined as having exactly one pair of parallel sides, which makes this statement false.

C) Every rectangle is also a parallelogram.

  • This statement is true. A parallelogram is a shape where opposite sides are parallel. A rectangle meets this condition because all of its opposite sides are parallel. Thus, a rectangle is a type of parallelogram.

D) Every parallelogram is also a rhombus.


This is not always true. While a rhombus is a type of parallelogram, the reverse is not necessarily accurate. A parallelogram can have sides of different lengths, while all sides of a rhombus must be equal in length. Not every parallelogram is a rhombus.

So, based on the properties of shapes, the correct answer to the question is C.

User Gopesh Sharma
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