Symmetry — Quiz

Q1. When the blue triangle is folded along the dotted line, the two halves are called mirror halves because

• A. Each half is exactly the same shape
• B. Each half is the reflection of the other across the fold
• C. Both halves are coloured blue
• D. Both halves have the same area

Q2. Ravi draws an 'L'-shaped figure (a square with a smaller square cut from one corner). How many lines of symmetry does this figure have?

• A. 0
• B. 1
• C. 2
• D. 4

Q3. From the chapter's opening figures (flower, butterfly, rangoli, pinwheel, cloud), how many figures are described as symmetric?

• A. Two
• B. Three
• C. Four
• D. Five

Q4. The corners of a square are labelled A, B (top) and D, C (bottom). When the square is reflected in its vertical line of symmetry, the points B and C move to the positions earlier occupied by

• A. A and D respectively
• B. C and D respectively
• C. D and A respectively
• D. B and C themselves

Q5. A square paper is folded once along its vertical midline. A single hole is punched through both layers. On unfolding, how many holes appear and where?

• A. One hole on the fold line
• B. Two holes, equally distant from the fold line on opposite sides
• C. Four holes, one at each corner
• D. Two holes on the same side of the fold

Q6. When a square sheet is unfolded after punching one hole, four holes appear at the four corners of the square. How was the paper folded before punching?

• A. Folded once along a diagonal
• B. Folded once along the vertical midline
• C. Folded along the vertical midline and then along the horizontal midline
• D. Not folded at all — four separate holes were punched

Q7. The order of rotational symmetry of a figure is best described as

• A. The smallest angle of symmetry of the figure
• B. The number of angles of symmetry of the figure
• C. The number of lines of symmetry of the figure
• D. The radius of the circle that surrounds it

Q8. Two equal line segments crossing at right angles at their midpoints form an 'X'-shape. What is the order of rotational symmetry of this figure?

• A. 1
• B. 2
• C. 6
• D. 4

Q9. A figure has 3 equal radial arms, equally spaced about a central point. The smallest angle of symmetry of this figure is

• A. 60 deg
• B. 90 deg
• C. 120 deg
• D. 180 deg

Q10. Which statement about the rotational symmetry of a circle is correct?

• A. Only 90 deg is an angle of symmetry of a circle
• B. Only 180 deg and 360 deg are angles of symmetry
• C. Every angle is an angle of symmetry of a circle
• D. A circle has no angle of symmetry

Q11. How many lines of symmetry and how many angles of symmetry does the Ashoka Chakra (with 24 spokes) have?

• A. 12 lines and 12 angles
• B. 24 lines and 12 angles
• C. 24 lines and 24 angles
• D. 12 lines and 24 angles

Q12. The paper windmill has rotational symmetry but no line of symmetry. This is possible because

• A. Rotational symmetry always implies line symmetry
• B. Rotational symmetry only needs the figure to look the same after a rotation, not after a fold
• C. The windmill is too colourful to be folded
• D. The windmill does not have a fixed centre

Q13. A rectangle that is not a square is rotated about its centre. Its angles of symmetry are

• A. 90 deg, 180 deg, 270 deg, 360 deg
• B. Only 180 deg and 360 deg
• C. Only 360 deg
• D. Every angle is an angle of symmetry

Q14. A regular polygon with n sides has lines of symmetry equal to

• A. 1
• B. 2
• C. n
• D. 2n

Q15. Looking at the front view of the Taj Mahal in the chapter, the most prominent line of symmetry of its outer boundary is

• A. Horizontal, through the middle of the dome
• B. Diagonal, from one minaret to the opposite minaret
• C. There is no line of symmetry
• D. Vertical, through the centre of the main dome