CBSE Class 6 Mathematics Symmetry Worksheet Set 06

Symmetry

Question 1. A line segment is Symmetrical about its ---------- bisector
(A) Perpendicular
(B) Parallel
(C) Line
(D) Axis
Answer: (A) Perpendicular
A line segment has a line of symmetry that is the perpendicular bisector of the segment, dividing it into two identical halves.
In simple words: A line segment is symmetric across its perpendicular bisector.

Exam Tip: Remember that the perpendicular bisector cuts a line segment into two equal halves at a 90-degree angle.

Question 2. How many lines of symmetry does a reactangle have?
(A) Four
(B) Three
(C) Two
(D) None of them
Answer: (C) Two
A rectangle has two lines of symmetry: one passing horizontally through the midpoints of opposite sides and one passing vertically through the midpoints of opposite sides.
In simple words: A rectangle can be folded evenly in half in two different ways (horizontally and vertically).

Exam Tip: Diagonals of a rectangle are NOT lines of symmetry because folding along a diagonal does not align the corners.

Question 3. Line of symmetry of given figure
(A) Horizontal
(B) Vertical
(C) Both of them (a) and (b)
(D) None of them
Answer: (A) Horizontal
The given double-headed arrow pointing left and right is symmetric about a horizontal line passing right through its center.
In simple words: The arrow can be divided equally from top to bottom using a horizontal line.

Exam Tip: Look closely at the orientation of the shape to determine whether the symmetry line runs across (horizontal) or up-and-down (vertical).

Question 4. Indicate the line of symmetry in the following figure.
Answer: The line of symmetry for the letter 'T' is a vertical line passing straight down through the middle of the vertical stem.
In simple words: The letter 'T' is symmetric down its vertical center.

Exam Tip: Capital letters like T, A, M, U, V, W, Y have a vertical line of symmetry.

Question 5. Give any two examples of symmetrical objects from your everyday life.
Answer: 1. A blackboard or whiteboard
2. A glass tumbler (circular cross-section)
In simple words: Everyday objects that look identical on both halves when divided by a central line are symmetrical.

Exam Tip: Choose simple geometric objects like a notebook, ruler, or post card for clear examples.

Question 6. What is the name of the line which divides the figure into two identical halves?
Answer: Line of symmetry (or axis of symmetry).
In simple words: The fold line that creates two matching halves is called the line of symmetry.

Question 7. How many lines of symmetry does the following figure have?
Answer: 1 line of symmetry.
In simple words: The figure can be folded symmetrically along only one specific line.

Exam Tip: Always test folding the shape mentally along vertical, horizontal, and diagonal paths.

Question 8. A figure can have only one line of symmetry. (True/ false).
Answer: False.
In simple words: A figure can have one, two, three, or even an infinite number of lines of symmetry (like a circle or a square).

Exam Tip: Words like 'only' in mathematical statements often make the statement false.

Question 9. Identify the no. of line of symmetry in the following figure.
Answer: 1 line of symmetry.
In simple words: There is only 1 way to divide the given wave-like figure into two identical matching halves.

Exam Tip: Count carefully by checking horizontal, vertical, and diagonal orientations.

Question 10. Whena figure is said to have line symmetry?
Answer: A figure is said to have line symmetry if it can be divided into two identical halves by a line such that one half is the exact mirror image of the other half.
In simple words: A shape has line symmetry if folding it along a line makes both sides overlap perfectly.

Exam Tip: Mention the term "mirror image" or "overlap perfectly" for full credit.

Question 11. Is the following figure symmetrical?
Answer: No, the figure is not symmetrical.
In simple words: The given figure does not have any line of symmetry.

Question 12. For the figure, which one is the mirror line \(l_1\) or \(l_2\)?
Answer: \(l_2\) is the mirror line.
In simple words: The vertical line \(l_2\) running right down the center divides the house shape into two symmetrical halves.

Exam Tip: The line of symmetry must split the entire figure into exact mirror halves.

Question 13. Draw the line of symmetry in the following figure
Answer: The line of symmetry is a vertical line passing from the top vertex straight down to the midpoint of the opposite base of the triangle.
In simple words: Draw a straight line from the top corner straight down the middle.

Question 14. Line of symmetry in given figure
(A) Horizontal
(B) Vertical
(C) Diagonal
(D) None
Answer: (D) None
The English letter or shape 'Z' has rotational symmetry of order 2, but it has no line of symmetry (neither horizontal, vertical, nor diagonal).
In simple words: You cannot fold 'Z' along any straight line to get two matching halves.

Exam Tip: Remember that letters like S, Z, and N have rotational symmetry but zero lines of symmetry.

Question 15. Complete the figure so that the dotted line is the line of symmetry.
Answer: Draw the exact mirror reflection of the given half-shape on the opposite side of the dotted line at an equal perpendicular distance.
In simple words: Copy the drawing on the other side of the dotted line like looking into a mirror.

Question 16. The English alphabet has how many lines of symmetry?
(A) One
(B) Two
(C) Four
(D) None
Answer: (B) Two
The specific letter shown in the diagram (capital 'H') has two lines of symmetry (one horizontal and one vertical).
In simple words: The letter H can be folded both horizontally and vertically.

Exam Tip: Letters like H, I, X have two lines of symmetry.

Question 17. Identify the line of symmetry of a rectangle?
(A) \(l_1\)
(B) \(l_2\)
(C) \(l_3\)
(D) \(l_1, l_3\) both
Answer: (D) \(l_1, l_3\) both
In the standard diagram for a rectangle, both the vertical line (\(l_1\)) and horizontal line (\(l_3\)) serve as lines of symmetry.
In simple words: Both the vertical and horizontal center lines divide a rectangle symmetrically.

Exam Tip: Diagonals are not lines of symmetry for a rectangle.

Question 18. Line of symmetry of English letter F is
(A) Horizontal
(B) Vertical
(C) Diagonal
(D) None
Answer: (D) None
The letter 'F' has no lines of symmetry.
In simple words: You cannot fold the letter F in any direction to get two identical halves.

Question 19. How many lines of symmetry does an isosceles triangle has?
(A) One
(B) Two
(C) Three
(D) Four
Answer: (A) One
An isosceles triangle has exactly one line of symmetry passing through the vertex between the two equal sides to the midpoint of the base.
In simple words: An isosceles triangle can only be folded in half down its center vertical axis.

Exam Tip: An equilateral triangle has 3 lines of symmetry, while a scalene triangle has 0.

Question 20. How many symmetrical lines in the given figure?
(A) Two
(B) One
(C) Three
(D) None of them
Answer: (B) One
The given pentagon-like irregular shape has 1 vertical line of symmetry.
In simple words: The shape is symmetrical along its vertical center line.

Exam Tip: Count carefully by observing the matching left and right boundaries.

Question 21. What is the line of symmetry of a line segment?
(A) A line passes through I end point of line segment and perpendicular to it
(B) A line passes through II end point of line segment and perpendicular to it
(C) A line passes through Centre point of line segment and perpendicular to it
(D) None
Answer: (C) A line passes through Centre point of line segment and perpendicular to it
The line of symmetry for any line segment is its perpendicular bisector, which passes through its midpoint at a 90-degree angle.
In simple words: The symmetry line cuts right through the middle of the segment at a right angle.

Exam Tip: Key terms to look for are "Centre point" (midpoint) and "perpendicular".

Question 22. Line of symmetry of English letter A is
(A) Horizontal
(B) Vertical
(C) Diagonal
(D) None
Answer: (B) Vertical
The capital letter 'A' is symmetrical along a vertical line running down from its apex.
In simple words: The letter A can be folded in half vertically.

Exam Tip: A vertical line splits 'A' into two matching left and right halves.

Question 23. How many lines of symmetry does an equilateral triangle has?
(A) One
(B) Two
(C) Three
(D) Four
Answer: (C) Three
An equilateral triangle has 3 lines of symmetry, each passing through one of the vertices and the midpoint of the opposite side.
In simple words: You can fold an equilateral triangle along three different lines from each corner to the opposite side.

Exam Tip: Regular polygons have as many lines of symmetry as they have sides.

Question 24. Find the number of lines of symmetry?
(A) One
(B) Two
(C) Three
(D) Four
Answer: (B) Two
The figure consisting of connected rectangles/squares side-by-side has 2 lines of symmetry (one horizontal and one vertical).
In simple words: The shape can be folded horizontally and vertically into identical halves.

Exam Tip: Check both horizontal and vertical axes for composite rectangular shapes.

Question 25. Find the number of lines of symmetry
(A) One
(B) Two
(C) Three
(D) Four
Answer: (D) Four
The four-pointed star / diamond-like symmetrical figure has 4 lines of symmetry (two principal axes and two diagonal axes).
In simple words: The star can be folded symmetrically in 4 different directions.

Exam Tip: Symmetric star figures usually have lines of symmetry equal to their number of points or arms.

Question 26. Line of symmetry of English letter Y is
(A) Horizontal
(B) Vertical
(C) Diagonal
(D) None
Answer: (B) Vertical
The capital letter 'Y' has a vertical line of symmetry.
In simple words: The letter Y is symmetrical down its vertical center.

Question 27. For the following figure which one is the mirror line
(A) \(l_1\)
(B) \(l_2\)
(C) \(l_3\)
(D) \(l_4\)
Answer: (A) \(l_1\)
For the given pentagon/house-like geometric figure, line \(l_1\) is the vertical axis passing through the top vertex and perpendicular to the base, making it the mirror line.
In simple words: The vertical line \(l_1\) divides the figure into two exact mirror halves.

Exam Tip: Vertical lines passing through the apex are typical lines of symmetry for polygon houses.

Question 28. Line of symmetry of English letter D is
(A) Horizontal
(B) Vertical
(C) Diagonal
(D) None
Answer: (A) Horizontal
The capital letter 'D' has a horizontal line of symmetry across its middle.
In simple words: The letter D can be folded perfectly in half from top to bottom.

Exam Tip: Letters like B, C, D, E, K have horizontal lines of symmetry.

Question 29. Line of symmetry of English letter B is
(A) Horizontal
(B) Vertical
(C) Diagonal
(D) None
Answer: (A) Horizontal
The capital letter 'B' has a horizontal line of symmetry dividing the top and bottom loops.
In simple words: The letter B is symmetric horizontally across its middle.

Exam Tip: Both loops of B match when folded horizontally.

Question 30. How many lines of symmetry do a square has?
(A) One
(B) Two
(C) Three
(D) Four
Answer: (D) Four
A square has 4 lines of symmetry: 2 lines passing through the midpoints of opposite sides (horizontal and vertical) and 2 diagonals.
In simple words: A square can be folded in half in 4 different ways.

Exam Tip: Remember that unlike rectangles, squares also have 2 diagonal lines of symmetry.

Question 31. In the given figure line \(l_1\) is the line of symmetry completes the figure to be symmetric about line \(l_1\).
(A)
(B)
(C)
(D)
(E)
Answer: (B)
Option (B) correctly shows the completed symmetrical figure where the left and right sides are exact mirror images across line \(l_1\).
In simple words: The correct option completes the drawing as a perfect reflection across the center line.

Exam Tip: Check that every point on one side has a corresponding reflected point at the exact same perpendicular distance on the other side.

Question 32. How many lines of symmetry does a parallelogram have?
(A) One
(B) Two
(C) Four
(D) None
Answer: (D) None
A general parallelogram has 0 lines of symmetry because neither its sides nor its diagonals divide it into identical mirror halves.
In simple words: A standard parallelogram cannot be folded along any line to match onto itself.

Exam Tip: Parallelograms have rotational symmetry of order 2, but zero lines of symmetry.

Question 33. In the adjoining figure line \(l_1\) is the line of symmetry. Draw the image of the triangle and complete the figure so that it becomes symmetrical about line \(l_1\).
(A) (B) (C) (D) (E)
Answer: (C)
Option (C) correctly reflects the triangle across the vertical line \(l_1\), forming a symmetric double-triangle figure.
In simple words: Option C shows the exact mirror image reflected across the center line.

Exam Tip: Verify vertex distances from the mirror line \(l_1\).

Question 34. Complete the given figure in such a way that the dotted line is the line of symmetry.
(A) (B) (C) (D) (E)
Answer: (B)
Option (B) correctly completes the shape by reflecting the top portion across the horizontal dotted line of symmetry.
In simple words: Option B provides the exact mirror reflection across the horizontal dashed line.

Exam Tip: Pay close attention to whether the line of symmetry is horizontal or vertical.

Question 35. How many lines of symmetry are there in the given figure?
(A) One
(B) Two
(C) Three
(D) Four
Answer: (A) One
The given house-like pentagonal figure with vertex labels A, B, C, D has 1 line of symmetry passing vertically from vertex D through vertex B to the base.
In simple words: There is only 1 vertical line dividing the figure into identical halves.

Exam Tip: Trace the vertical axis of symmetry from top vertex D downwards.

Question 36. Line of symmetry of in given figure
(A) Horizontal
(B) Vertical
(C) Diagonal
(D) None
Answer: (B) Vertical
The given Christmas-tree / stylized tree figure has a vertical line of symmetry down its center.
In simple words: The tree figure is symmetrical along its vertical center axis.

Exam Tip: Natural figures like trees and leaves typically feature a vertical line of symmetry.

Question 37. Line of symmetry in given figure
(A) Horizontal
(B) Vertical
(C) Diagonal
(D) None
Answer: (D) None
The given asymmetric curved geometric shape has no line of symmetry.
In simple words: The shape cannot be folded into matching halves.

Exam Tip: Check all directions; asymmetrical curves yield zero lines of symmetry.

Question 38. Line of symmetry of English letter W
(A) vertical
(B) horizontal
(C) both of them
(D) none of them
Answer: (A) vertical
The capital letter 'W' has a vertical line of symmetry.
In simple words: The letter W can be folded in half vertically.

Exam Tip: Capital W has 1 vertical line of symmetry (unlike M which also has a vertical line of symmetry).

Question 39. How many lines of symmetry does a circle have?
(A) Countless
(B) Two
(C) Four
(D) Three
Answer: (A) Countless
A circle has an infinite (countless) number of lines of symmetry, because every line passing through its center is a line of symmetry.
In simple words: You can draw an endless number of symmetry lines through the center of a circle.

Exam Tip: Any line passing through the center of a circle is an axis of symmetry.

Question 40. A scalene triangle has .......
(A) One line of symmetry
(B) Two line of symmetry
(C) Four line of symmetry
(D) No line of symmetry
Answer: (D) No line of symmetry
A scalene triangle has all sides of different lengths, so it has no lines of symmetry.
In simple words: Since all sides of a scalene triangle are unequal, it cannot be folded symmetrically.

Exam Tip: Scalene = 0 lines of symmetry; Isosceles = 1 line; Equilateral = 3 lines.

Question 41. Line of symmetry in given figure is-
(A) Vertical.
(B) Horizontal.
(C) Diagonal.
(D) Both (a) and (b).
Answer: (B) Horizontal.
The given rounded capsule/pill-like figure has a horizontal line of symmetry across its middle.
In simple words: The figure can be folded evenly from top to bottom.

Exam Tip: Examine the longest horizontal span of symmetric shapes.

Question 42. How many symmetrical lines can be constructed in the given figure?
(A) 3
(B) 6
(C) 4
(D) 2
Answer: (D) 2
The hourglass-shaped figure formed by two triangles joined at a vertex has 2 lines of symmetry (one vertical and one horizontal).
In simple words: The hourglass shape has 2 symmetry lines (vertical and horizontal).

Exam Tip: Check both central axes for symmetric bow-tie or hourglass figures.

Question 43. Line of symmetry in English letter 'T' is-
(A) Vertical.
(B) Horizontal.
(C) Both of them.
(D) None of them.
Answer: (A) Vertical.
The letter 'T' has a vertical line of symmetry passing straight down its center stem.
In simple words: The letter T is symmetrical along its vertical axis.

Exam Tip: A vertical fold divides T into two matching halves.

Question 44. A figure has line symmetry if a line can be drawn dividing the figure into .............. identical parts. The line is called a line of symmetry.
(A) Three
(B) Four
(C) Two
(D) None of them.
Answer: (C) Two
A figure has line symmetry if a line divides it into 2 identical parts.
In simple words: Line symmetry creates 2 identical matching halves.

Exam Tip: Always remember that line symmetry produces exactly two identical halves.

Question 45. How many lines of symmetry are there in the given figure?
(A) One
(B) Two
(C) Three
(D) Four
Answer: (D) Four
The given cross / multiplication sign 'X' or four-armed symmetric cross figure has 4 lines of symmetry (2 diagonal axes and 2 principal axes depending on arm width, or 2 diagonals and 2 perpendicular bisectors for a symmetric cross).
In simple words: An 'X' or symmetric cross has 4 lines of symmetry.

Exam Tip: Count both diagonal and perpendicular cross-axes.

Question 46. The line symmetry is closely related to ..........
(A) Mirror deflection.
(B) Mirror reflection.
(C) Both of them.
(D) None of them.
Answer: (B) Mirror reflection.
Line symmetry is fundamentally based on mirror reflection across the line of symmetry.
In simple words: Line symmetry works just like looking into a mirror.

Exam Tip: Connect line symmetry with mirror reflection concepts.

Question 47. How many symmetrical lines are there in the given figure?
(A) 1
(B) 2
(C) 3
(D) 4
Answer: (A) 1
The heart-shaped figure has 1 vertical line of symmetry passing down through the middle cleft and bottom point.
In simple words: A heart shape can be folded in half down its vertical center.

Question 48. In the given figure, line of symmetry is - [Note: Pentagon shape]
(A) Horizontal.
(B) Vertical.
(C) Both of them.
(D) None of them.
Answer: (B) Vertical.
The irregular pentagon shown has a vertical line of symmetry.
In simple words: The shape is symmetrical along its vertical center line.

Exam Tip: Look at how the left and right sides mirror each other vertically.

Question 49. A kite-shaped figure has how many line of symmetry
(A) One
(B) Two
(C) Three
(D) Four
Answer: (A) One
A standard kite has 1 line of symmetry along its main vertical diagonal.
In simple words: A kite can be folded along its longer vertical diagonal.

Exam Tip: The shorter diagonal is not a line of symmetry for a kite.

Question 50. A circle has how many lines of symmetry
(A) Two
(B) Three
(C) Infinite
(D) None
Answer: (C) Infinite
A circle has an infinite number of lines of symmetry.
In simple words: You can draw countless lines through the center of a circle, and each one will split it symmetrically.

Question 51. Is the following figure symmetrical?
Answer: Yes, the figure is symmetrical.
In simple words: The cross shape with curved ends has lines of symmetry.

Exam Tip: Symmetric crosses have both vertical and horizontal lines of symmetry.

Question 52. Is the figure symmetrical? If yes, find its axis of symmetry.
Answer: Yes, the figure ( Crescent moon with star) is symmetrical. Its axis of symmetry is the horizontal line passing through the center of the crescent and the star.
In simple words: Yes, it is symmetrical along the horizontal line passing through its middle.

Exam Tip: Check alignment of both the crescent tips and the star.

Question 53. Determine whether the following figures are symmetrical? (Fig 1)
Answer: Yes, Fig 1 (a square with both diagonals drawn) is symmetrical.
In simple words: Yes, a square with its diagonals is fully symmetrical.

Exam Tip: Squares have 4 lines of symmetry (2 perpendicular and 2 diagonal).

Question 54. Check whether the given figure is symmetrical or not? (Star figure)
Answer: Yes, the 5-pointed star figure is symmetrical.
In simple words: Yes, a regular 5-pointed star has line symmetry.

Exam Tip: A regular pentagonal star has 5 lines of symmetry.

Question 55. Complete the figure along the line of symmetry. (a) and (b)
Answer: Complete each figure by drawing the exact mirror reflection of the given half-segment across the indicated dotted line of symmetry.
In simple words: Draw the matching mirror-image half across the dotted line.

Exam Tip: Maintain exact angles and lengths when drawing the reflected half.

Question 56. What is reflection symmetry.
Answer: Reflection symmetry is a type of symmetry where one half of an object is the exact mirror image of the other half when flipped or folded across a line of symmetry.
In simple words: Reflection symmetry means an object looks identical to its reflection in a mirror.

Exam Tip: Mention "mirror image" and "line of symmetry" in your definition.

Question 57. Give some of the applications of symmetry?
Answer: Applications of symmetry include:
1. Architecture and building design (e.g., Taj Mahal, bridges)
2. Art, rangoli, and patterns
3. Engineering and manufacturing (e.g., automobiles, utensils, tools)
4. Nature and biology (e.g., leaves, flowers, animals, human faces)
In simple words: Symmetry is used everywhere in art, architecture, engineering, and nature to make objects balanced and aesthetically pleasing.

Exam Tip: Give at least two clear real-world examples like architecture or nature.

Question 58. Can you draw a figure whose mirror image is identical to the figure itself?
Answer: Yes. Examples include a square, a circle, an equilateral triangle, or capital letters like A, H, M, T, V, U.
In simple words: Yes, any figure with line symmetry has a mirror image identical to itself when reflected across its symmetry line.

Exam Tip: Any symmetric shape viewed across its line of symmetry looks identical to itself.

Question 59. Complete the figure along the line of symmetry. (a) and (b)
Answer: Complete the figures by drawing the corresponding lower/right mirrored halves across the respective dotted lines of symmetry.
In simple words: Mirror the given half across the dotted line to complete the shape.

Exam Tip: Ensure perpendicular distances from the symmetry line are equal for corresponding points.

Question 60. Find out if the figure is symmetrical or not? (Cross with diagonal line)
Answer: No, the given figure with an asymmetric intersecting line is not symmetrical.
In simple words: No, the extra diagonal line makes the figure asymmetrical.

Exam Tip: A single asymmetric element destroys the symmetry of an entire figure.

Question 61. Count the number of lines of symmetry in the figure. (Vertical double arrow)
Answer: 2 lines of symmetry (one vertical and one horizontal).
In simple words: The double-ended vertical arrow has 2 lines of symmetry (vertical and horizontal).

Question 62. Consider the letters of English alphabets A to Z. List among them the letters which have (a) vertical lines of symmetry (b) horizontal lines of symmetry (c) no lines of symmetry
Answer:
(a) Vertical lines of symmetry: A, H, I, M, O, T, U, V, W, X, Y
(b) Horizontal lines of symmetry: B, C, D, E, H, I, O, X
(c) No lines of symmetry: F, G, J, K, L, N, P, Q, R, S, Z
In simple words: Letters are grouped based on whether they fold symmetrically along vertical, horizontal, or no lines.

Exam Tip: Note that H, I, O, X appear in both vertical and horizontal categories because they have both axes of symmetry.

Question 63. Draw the mirror images of the following: (a) Swastika symbol (b) Rhombus
Answer:
(a) The mirror image of a Swastika symbol reverses its rotational arms.
(b) The mirror image of a rhombus maintains its diamond shape with reversed orientation.
In simple words: Draw the flipped reflection of each shape as seen in a mirror.

Exam Tip: Pay attention to left-right and top-bottom reversals in mirror images.

Question 64. Following letters of the English alphabet are symmetrical about a line. Identify a line of symmetry in each case: (a) A (b) W (c) Y (d) B (e) E
Answer:
(a) A: Vertical line of symmetry
(b) W: Vertical line of symmetry
(c) Y: Vertical line of symmetry
(d) B: Horizontal line of symmetry
(e) E: Horizontal line of symmetry
In simple words: A, W, Y have vertical symmetry lines, while B and E have horizontal symmetry lines.

Question 65. Complete the figure with dotted lines along the axis of symmetry. (Letter A with vertical dashed line)
Answer: Complete the letter A by reflecting the incomplete half across the vertical dotted axis of symmetry.
In simple words: Draw the missing half of the letter A across the dashed line.

Question 66. How many lines of symmetry does the following figure have? (a) Regular Hexagon (b) Rectangle (c) Square (d) Rhombus
Answer:
a) Regular Hexagon: 6 lines of symmetry
b) Rectangle: 2 lines of symmetry
c) Square: 4 lines of symmetry
d) Rhombus: 2 lines of symmetry (its two diagonals)
In simple words: Hexagon has 6, rectangle has 2, square has 4, and rhombus has 2 symmetry lines.

Question 67. Can you draw a triangle which has (a) exactly one line of symmetry ? (b) exactly two lines of symmetry ? (c) exactly three lines of symmetry ? (d) no lines of symmetry ? Sketch a rough figure in each case.
Answer:
(a) Exactly one line of symmetry: Isosceles triangle.
(b) Exactly two lines of symmetry: Not possible for any triangle (triangles can have 0, 1, or 3 lines of symmetry, never 2).
(c) Exactly three lines of symmetry: Equilateral triangle.
(d) No lines of symmetry: Scalene triangle.
In simple words: Isosceles has 1, equilateral has 3, scalene has 0, and a triangle with 2 lines of symmetry does not exist.

Exam Tip: Remember that triangles can never have exactly 2 lines of symmetry.

Question 68. Draw the mirror images of the following figures: (a) Arc (b) N (c) E (d) B
Answer:
(a) Arc: Flipped horizontally.
(b) N: Mirrored N (reverse N).
(c) E: Mirrored E (facing left).
(d) B: Mirrored B (facing left).
In simple words: Draw the left-right reversed mirror reflection for each figure and letter.

Exam Tip: Horizontal reflection flips letters and shapes left-to-right.

Question 69. Complete the table : Shape | Rough Figure | No. of lines of symmetry
Answer:

In simple words: Equilateral triangle has 3, square has 4, rectangle has 2, and circle has infinite lines of symmetry.

Exam Tip: Memorize this standard symmetry table as it is frequently tested.

Question 70. On a paper, sketch the following : (a) A triangle with horizontal line of symmetry but no vertical line of symmetry. (b) A quadrilateral with both horizontal and vertical lines of symmetry. (c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry. (d) A hexagon with exactly two lines of symmetry. (e) An English alphabet with both horizontal and vertical axis.
Answer:
(a) A triangle with a horizontal line of symmetry: Not possible, because any line of symmetry in a triangle must pass through a vertex and thus be vertical/inclined, never purely horizontal in standard orientation.
(b) A quadrilateral with both horizontal and vertical lines of symmetry: Rectangle or Square.
(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry: Kite or isosceles trapezoid.
(d) A hexagon with exactly two lines of symmetry: An elongated hexagon (like a stretched regular hexagon).
(e) An English alphabet with both horizontal and vertical axis: H, I, O, X.
In simple words: Listed are the geometric shapes and letters matching each specific symmetry description.

Exam Tip: Note that triangles cannot have a horizontal line of symmetry when resting on a base.