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A quadrilateral can be constructed uniquely if its two diagonals and _____ sides are known.
- a)1
- b)2
- c)3
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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A quadrilateral can be constructed uniquely if its two diagonals and _...
Correct! If a quadrilateral's two diagonals and three sides are known, then it can be constructed uniquely.
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A quadrilateral can be constructed uniquely if its two diagonals and _...
Construction of a Quadrilateral
The construction of a quadrilateral involves creating a figure with four sides and four angles. To uniquely construct a quadrilateral, certain information is required.
Diagonals and Sides
In the given scenario, if the two diagonals and three sides of a quadrilateral are known, the quadrilateral can be constructed uniquely. This is because the diagonals of a quadrilateral play a crucial role in determining its shape and size. By having the lengths of the two diagonals and three sides, the remaining side can be accurately determined using geometric principles such as the triangle inequality theorem and properties of quadrilaterals.
Uniqueness of Construction
When the diagonals and three sides of a quadrilateral are known, the construction becomes unique because the diagonals intersect at a specific point within the quadrilateral, dividing it into distinct triangles. The lengths of the sides and diagonals provide enough information to accurately position the vertices of the quadrilateral, ensuring that only one configuration is possible.
Therefore, by knowing the diagonals and three sides of a quadrilateral, a unique construction can be achieved based on the geometric properties and relationships within the figure.
The construction of a quadrilateral involves creating a figure with four sides and four angles. To uniquely construct a quadrilateral, certain information is required.
Diagonals and Sides
In the given scenario, if the two diagonals and three sides of a quadrilateral are known, the quadrilateral can be constructed uniquely. This is because the diagonals of a quadrilateral play a crucial role in determining its shape and size. By having the lengths of the two diagonals and three sides, the remaining side can be accurately determined using geometric principles such as the triangle inequality theorem and properties of quadrilaterals.
Uniqueness of Construction
When the diagonals and three sides of a quadrilateral are known, the construction becomes unique because the diagonals intersect at a specific point within the quadrilateral, dividing it into distinct triangles. The lengths of the sides and diagonals provide enough information to accurately position the vertices of the quadrilateral, ensuring that only one configuration is possible.
Therefore, by knowing the diagonals and three sides of a quadrilateral, a unique construction can be achieved based on the geometric properties and relationships within the figure.
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A quadrilateral can be constructed uniquely if its two diagonals and _____ sides are known.a)1b)2c)3d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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A quadrilateral can be constructed uniquely if its two diagonals and _____ sides are known.a)1b)2c)3d)none of theseCorrect answer is option 'C'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A quadrilateral can be constructed uniquely if its two diagonals and _____ sides are known.a)1b)2c)3d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A quadrilateral can be constructed uniquely if its two diagonals and _____ sides are known.a)1b)2c)3d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
A quadrilateral can be constructed uniquely if its two diagonals and _____ sides are known.a)1b)2c)3d)none of theseCorrect answer is option 'C'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A quadrilateral can be constructed uniquely if its two diagonals and _____ sides are known.a)1b)2c)3d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A quadrilateral can be constructed uniquely if its two diagonals and _____ sides are known.a)1b)2c)3d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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