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Which of the following statement is INCO...

Which of the following statement is INCORRECT?

A

Diagonals divide the parallelogram into two congruent triangles.

B

Every square is a rhombus.

C

All parallelograms are trapeziums.

D

All rectangles are squares.

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AI Generated Solution

The correct Answer is:
To determine which of the following statements is incorrect, we will analyze each option step by step. ### Step-by-Step Solution: 1. **Option 1: Diagonals divide the parallelogram into two congruent triangles.** - In a parallelogram, when you draw a diagonal, it divides the shape into two triangles. - These triangles are congruent because they share a side (the diagonal) and have equal opposite sides. - Therefore, this statement is **true**. 2. **Option 2: Every square is a rhombus.** - A square has all sides equal and opposite sides parallel, which satisfies the properties of a rhombus. - Thus, every square indeed is a rhombus. This statement is also **true**. 3. **Option 3: All parallelograms are trapeziums.** - A trapezium (or trapezoid) is defined as a quadrilateral with at least one pair of parallel sides. - Since a parallelogram has two pairs of parallel sides, it fits the definition of a trapezium. - Therefore, this statement is **true**. 4. **Option 4: All rectangles are squares.** - A rectangle has opposite sides equal and all angles equal to 90 degrees, but it does not require all four sides to be equal. - A square is a specific type of rectangle where all sides are equal. - Therefore, not all rectangles are squares, making this statement **false**. ### Conclusion: The incorrect statement is **Option 4: All rectangles are squares**.
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  5. In the given figure, EB is the diagonal of square EDBA. Find angleCEF ...

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  6. If x^(2) + (1)/(x^(2)) = 16, then find the value of x + (1)/(x).

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  7. If (t+2) units and (t^(2) + 4) units are length and breadth of a recta...

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  8. Using Euler's formula, find the value of P, Q and R respectively. Fa...

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  10. In the given parallelogram XYZW, find the values of x, y and z respect...

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  13. Find the values of A and B respectively.

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  14. In the figure, ABCD is a rectangle. BD = BE, angleBED = 40^(@) and ref...

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  15. Which of the following statement is INCORRECT?

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  16. If a property holds for whole numbers, then it also holds for .

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  17. A rectangular water reservoir contains 42000 litres of water. If the l...

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  18. A can complete a work in 10 days and B can complete the same work in 1...

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  19. Which of the following statements is INCORRECT?

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