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Question 5:

Which among the following figures is a quadrilateral?

• A quadrilateral is a polygon with four sides.
• Looking at the figures:
  1. (i) is a quadrilateral as it has 4 sides.
  2. (ii) is not a quadrilateral; it is a triangle.
  3. (iii) is not a quadrilateral; it is a figure with overlapping triangles.
  4. (iv) is not a quadrilateral; it has 3 sides (a triangle).

Answer: (a) (i) only.

Question 6:

The number of right angles turned by the hour hand of a clock when it goes from 2 to 8 is:

• The hour hand moves in a circular manner, where 1 full revolution equals $360^\circ$.
• A right angle is $90^\circ$, and moving across 6 hours (from 2 to 8) corresponds to: $\text{Total movement} = 6 \times 30^\circ = 180^\circ$
• $180^\circ$ contains 2 right angles.

Answer: (b) 2.

Question 7:

An angle whose measure is equal to half of a revolution is:

• A full revolution is $360^\circ$. Half of it is: $\frac{360^\circ}{2} = 180^\circ$
• An angle of $180^\circ$ is a straight angle.

Answer: (c) Straight angle.

Would you like more details about any question or concept? Here are some related follow-up questions to expand your understanding:

1. How can you identify polygons such as quadrilaterals by side count and properties?
2. Why does a clock divide a circle into $12 \times 30^\circ$ segments?
3. What are the types of angles based on their degree measures (acute, obtuse, etc.)?
4. How do overlapping figures affect classification of polygons?
5. What are the uses of angles like straight angles in real-world contexts?

Tip: When working with clock problems, always remember that each hour corresponds to $30^\circ$.