Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How to check the answer?
Answers
1. The quadrilateral will have its diagonals (the diameters of the circle) equal in length and,
2. Bisecting each other as well at the point of intersection (the center).
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Question-1: In case the intersecting diameters are also perpendicular to each other, the quadrilateral obtained will be a square.
This is because:
The diagonals of the quadrilateral (the diameters of the circle) are perpendicular to each other and bisect each other, while also being equal in length.
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HOW TO CHECK THE ANSWER?
You could check the accuracy of the answer by measuring the lengths of the sides and the angles of the figures obtained. In a rectangle, the angles of the quadrilateral would measure 90 degrees and the opposite sides would be equal in length while in case of a square, all interior angles would measure 90 degrees while all sides would also be equal in length.
Answer:
Step-by-step explanation:
Question-1: If you join the end points of the diameters of a circle, you obtain a quadrilateral that would actually be a rectangle. This is because:
1. The quadrilateral will have its diagonals (the diameters of the circle) equal in length and,
2. Bisecting each other as well at the point of intersection (the center).
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Question-1: In case the intersecting diameters are also perpendicular to each other, the quadrilateral obtained will be a square.
This is because:
The diagonals of the quadrilateral (the diameters of the circle) are perpendicular to each other and bisect each other, while also being equal in length.
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HOW TO CHECK THE ANSWER?
You could check the accuracy of the answer by measuring the lengths of the sides and the angles of the figures obtained. In a rectangle, the angles of the quadrilateral would measure 90 degrees and the opposite sides would be equal in length while in case of a square, all interior angles would measure 90 degrees while all sides would also be equal in length.
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