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Indicate whether the given statement is ...

Indicate whether the given statement is true or false :
[Rhombuses ) ` sube `{Parallelograms }

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The correct Answer is:
To determine whether the statement "Rhombuses ⊆ Parallelograms" is true or false, we can follow these steps: ### Step 1: Understand the Definitions - **Parallelogram**: A quadrilateral with opposite sides that are parallel. - **Rhombus**: A type of parallelogram where all four sides are of equal length. ### Step 2: Analyze the Relationship - Since a rhombus is defined as a specific type of parallelogram (where all sides are equal), it inherently possesses the properties of a parallelogram, such as having opposite sides that are parallel. ### Step 3: Define Subset - A set A is a subset of set B (A ⊆ B) if every element of A is also an element of B. In this case, since all rhombuses are parallelograms, we can conclude that the set of rhombuses is indeed a subset of the set of parallelograms. ### Step 4: Conclusion - Since every rhombus is a parallelogram, we can conclude that the statement "Rhombuses ⊆ Parallelograms" is true. ### Final Answer Therefore, the statement is **True**. ---
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ICSE-SETS -EXERCISE 6 B
  1. Indicate whether the given statement is true or false : [Triangles ...

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  2. Indicate whether the given statement is true or false : (squares ) ...

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  3. Indicate whether the given statement is true or false : [Rhombuses ) ...

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  4. Indicate whether the given statement is true or false : [Natural nu...

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  5. Indicate whether the given statement is true or false : { Integers ...

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  6. Indicate whether the given statement is true or false : {Composite n...

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  7. Write down all possible subsets of each of the sets given below : ...

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  8. Write down all possible subsets of each of the sets given below : ...

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  9. Write down all possible subsets of each of the sets given below : ...

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  10. Write down all possible subsets of each of the sets given below : ...

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  11. Write down all possible subsets of each of the sets given below : ...

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  12. Write down all possible subsets of each of the sets given below : ...

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  13. Write down all possible proper subsets of each of the sets given below...

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  14. Write down all possible proper subsets of each of the sets given below...

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  15. Write down all possible proper subsets of each of the sets given below...

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  16. Write down all possible proper subsets of each of the sets given below...

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  17. Write down : The sets C of letters of the word ' PAPAYA '

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  18. Write down : All subsets of C , C={P,A,Y}

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  19. The set C is letters of the word, PAPAYA Write down : All proper...

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  20. How many subsets in all are there of a set containing 4 elements ?

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