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)