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Name each of the following parallelogram...

Name each of the following parallelograms.
All the angles are equal and the adjacent sides are unequal .

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To solve the question, we need to identify the type of parallelogram based on the given properties: all angles are equal and the adjacent sides are unequal. ### Step-by-Step Solution: 1. **Understanding the Properties of Parallelograms**: - A parallelogram is a quadrilateral with opposite sides that are equal and parallel. - The angles in a parallelogram can be equal or unequal. 2. **Identifying the Given Conditions**: - All angles are equal. - Adjacent sides are unequal. 3. **Analyzing the Angles**: - If all angles in a parallelogram are equal, then each angle must be 90 degrees. This is because the sum of the angles in any quadrilateral is 360 degrees, and if all angles are equal, each angle must be \( \frac{360}{4} = 90 \) degrees. 4. **Identifying the Type of Parallelogram**: - A parallelogram with all angles equal and adjacent sides unequal is known as a rectangle. - In a rectangle, opposite sides are equal, and adjacent sides can be of different lengths. 5. **Conclusion**: - Therefore, the parallelogram that has all angles equal (90 degrees) and adjacent sides that are unequal is called a **rectangle**. ### Final Answer: The name of the parallelogram is **rectangle**. ---
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RS AGGARWAL-PARALLELOGRAMS-Exercise 16A
  1. In the adjacent figure , ABCD is a parallelogram and line segments AE...

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  2. The lengths of the diagonals of a rhombus are 16 cm and 12 cm respecti...

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  3. In the given figure ABCD is a square . Find the measure of angleCAD.

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  4. The sides of a rectangle are in the ratio 5 : 4 and its perimeter is 9...

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  5. Name each of the following parallelograms. The diagonals are equal ...

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  6. Name each of the following parallelograms. The diagonals are equal ...

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  7. Name each of the following parallelograms. The diagonals are unequa...

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  8. Name each of the following parallelograms. All the sides are equal a...

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  9. Name each of the following parallelograms. All the sides are equal ...

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  10. Name each of the following parallelograms. All the angles are equal ...

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  11. The diagonals of a parallelograms are equal .

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  12. Which of the following statements are true and which are false ? The...

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  13. Which of the following statements are true and which are false ? The...

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  14. Which of the following statements are true and which are false ? Eve...

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  15. Which of the following statements are true and which are false ? Eve...

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  16. Which of the following statements are true and which are false ? Eve...

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  17. Is Every square a rhombus.

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  18. Which of the following statements are true and which are false ? Eve...

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  19. Which of the following statements are true and which are false ? Eve...

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  20. Which of the following statements are true and which are false ? Eve...

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