Subjects geometry

Circle Chords Quadrilaterals

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Circle Chords Quadrilaterals


1. The problem asks to identify the true statement among four options about chords and radii in a circle. 2. (a) Chord AC is bigger than chord BC: Without specific lengths or a diagram, this cannot be confirmed. 3. (b) The biggest chord of a circle is the diameter, which is twice the radius OC. This is a true geometric fact. 4. (c) AB = 2AC: Without specific lengths or diagram, this cannot be confirmed. 5. (d) OC and CB are the radii of the circle: OC is a radius, but CB is a chord, not necessarily a radius. 6. Therefore, the true statement is (b). 7. For questions 9 and 10, we count the number of rectangles and squares in the given figures. 8. Question 9: The figure is a square subdivided into smaller squares and rectangles by lines parallel to sides and diagonals. 9. The total count of rectangles and squares in such a subdivided figure is 20. 10. Question 10: The figure is a large square with a smaller rotated square inside, forming nested quadrilaterals. 11. The total count of rectangles and squares in this figure is 8. Final answers: - 8: (b) - 9: (c) - 10: (c)