Question 7 of 7intermediate🔧 ApplyShort Answer2 marks

How many lines of symmetry and angles of symmetry does Ashoka Chakra have?

Correct Answer

Step 1: Count the number of spokes in Ashoka Chakra = 24

Step 2: Number of lines of symmetry = 24 (one through each spoke)

Step 3: Number of angles of symmetry = 24

Step 4: Smallest angle of symmetry = 360° ÷ 24 = 15°

Step 5: All angles of symmetry are multiples of 15° from 15° to 360°

The angles of symmetry are: 15°, 30°, 45°, 60°, 75°, 90°, 105°, 120°, 135°, 150°, 165°, 180°, 195°, 210°, 225°, 240°, 255°, 270°, 285°, 300°, 315°, 330°, 345°, and 360°

Answer: The Ashoka Chakra has 24 lines of symmetry and 24 angles of symmetry.

Exercise: Figure it Out (Section 4) | Q: 11 | (Page Page 23)
For More Understanding

Explanation

The Ashoka Chakra is a wheel with 24 spokes. As a symmetric figure with 24 equally spaced identical parts, it has 24 lines of symmetry and 24 angles of symmetry, similar to a regular 24-sided polygon.

Solution Steps

  1. Step 1: Count the number of spokes in Ashoka Chakra = 24

  2. Step 2: Number of lines of symmetry = 24 (one through each spoke)

  3. Step 3: Number of angles of symmetry = 24

  4. Step 4: Smallest angle of symmetry = 360° ÷ 24 = 15°

  5. Step 5: All angles of symmetry are multiples of 15° from 15° to 360°

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