RBSE Solutions Class 6 Maths Chapter 11 Symmetry Important Questions

Question 1. How many lines of symmetry will be in a square?
(a) 4
(b) 2
(c) 8
(d) 6
Answer: (a) 4
In simple words: A square has four lines of symmetry. You can fold it in half perfectly along its two diagonals and also along the lines connecting the midpoints of opposite sides.

🎯 Exam Tip: Remember that a line of symmetry divides a figure into two identical mirror-image halves.

Question 2. How many lines of symmetry will be in a regular hexagon?
(a) 5
(b) 8
(c) 4
(d) 6
Answer: (d) 6
In simple words: A regular hexagon has six lines of symmetry. These lines pass through opposite vertices and through the midpoints of opposite sides.

🎯 Exam Tip: For any regular polygon, the number of lines of symmetry is equal to the number of its sides.

Question 3. How many lines of symmetry will be in an equilateral triangle?
(a) 2
(b) 1
(c) 3
(d) 4
Answer: (c) 3
In simple words: An equilateral triangle has three equal sides and three equal angles. It has three lines of symmetry, each going from a vertex to the middle of the opposite side.

🎯 Exam Tip: An isosceles triangle has one line of symmetry, while an equilateral triangle has three.

Question 4. Number of types of line of symmetry are
(a) 3
(b) 2
Answer: (a) 3
In simple words: There are mainly three types of symmetric lines: vertical, horizontal, and slant. These lines help define how a figure can be folded into matching halves.

🎯 Exam Tip: When asked about 'types' of symmetry lines, think about their orientation: up-down (vertical), side-to-side (horizontal), or diagonal (slant).

Question 1. Fill in the blanks
(i) Scalene triangle has .......... line of symmetry.
(ii) A circle has .......... lines of symmetry.
(iii) Equilateral triangle has .......... lines of symmetry.
(iv) A figure which is not identical from both sides of a point is called ............
Answer:
(i) Scalene triangle has no line of symmetry.
(ii) A circle has infinite lines of symmetry.
(iii) Equilateral triangle has three lines of symmetry.
(iv) A figure which is not identical from both sides of a point is called unsymmetric. The parts on either side of the center point do not match up perfectly.
In simple words: A scalene triangle cannot be folded into matching halves. A circle can be folded in countless ways to match. An equilateral triangle has three ways to fold. A shape that doesn't match on both sides of a point is called unsymmetric.

🎯 Exam Tip: Understand the properties of different geometric shapes to correctly identify their lines of symmetry. Remember that "no" and "infinite" are valid numbers of symmetry lines.

Very Short/Short Answer Type Questions

Question 1. What is line of symmetry?
Answer: A line of symmetry is a line that divides a figure into two identical parts. When a figure is folded along this line, both halves match up perfectly, like a mirror image. This means one half is exactly the same shape and size as the other.
In simple words: A line of symmetry is a line that cuts a shape into two parts that are exact mirror images of each other.

🎯 Exam Tip: The key concept for a line of symmetry is that it creates mirror-image halves, meaning they are identical and superimpose perfectly when folded.

Question 3. How many types of symmetric axis or symmetric line? Write.
Answer: Symmetric axes or lines are of three main types:

• Vertical axis
• Horizontal axis
• Slant axis

A symmetric figure can have one, two, or more lines of symmetry, depending on its shape. For instance, a square has all three types if you count its diagonals as slant axes.
In simple words: There are three main kinds of symmetry lines: straight up-and-down, straight side-to-side, and diagonal lines.
🎯 Exam Tip: When listing types of symmetry axes, consider the orientation of the line that perfectly divides the figure.

Question 4. How many numbers of lines of symmetry a circle have?
Answer: A circle has an infinite number of lines of symmetry. Any line that passes through the center of the circle is a line of symmetry, as it divides the circle into two perfectly identical semicircles. Since there are endless lines that can pass through the center, there are infinite lines of symmetry.
In simple words: A circle has an endless number of lines of symmetry. Any line going through its center is a line of symmetry.

🎯 Exam Tip: Remember that for a circle, any diameter acts as a line of symmetry, and there are infinitely many diameters.

Question 5. How the image of a figure look into a mirror?
Answer: The image of a figure in a mirror appears identical in shape and size but looks opposite or reversed horizontally. This means the left and right sides of the figure are swapped in its reflection. The distance of the image from the mirror is the same as the object's distance.
In simple words: A mirror image looks exactly the same size and shape, but it is flipped from left to right.

🎯 Exam Tip: The key characteristic of a mirror image is that it is laterally inverted, meaning left and right are swapped while top and bottom remain the same.

Question 6. How many numbers of lines of symmetry there will be in an equilateral quadrilateral?
Answer: An equilateral quadrilateral is a rhombus. A rhombus has two lines of symmetry. These lines connect the midpoints of opposite sides or run along its diagonals. Each line divides the rhombus into two identical mirror images.
In simple words: An equilateral quadrilateral is a rhombus, and it has two lines of symmetry.

🎯 Exam Tip: Recall that a rhombus has all four sides equal, and its diagonals are perpendicular bisectors of each other, which form its lines of symmetry.

Question 7. Given figures are symmetric according to symmetric axis, but are incomplete. Complete them.
Answer: Here are the completed figures, showing the symmetric half that was missing:

The figures A, M, and E are completed by drawing the missing half as a mirror image across the implied vertical axis.
In simple words: We completed each picture by drawing the other side that would make it perfectly even, like looking in a mirror.

🎯 Exam Tip: To complete a symmetric figure, imagine a mirror placed along the line of symmetry and draw the reflection of the given half.

Question 8. Can you make a triangle which
(a) has only one line of symmetry?
(b) has only two lines of symmetry?
(c) has only three lines of symmetry?
(d) has no line of symmetry? Draw figure for each.
Answer:
(a) Yes, an isosceles triangle has only one line of symmetry. This line goes from the vertex between the two equal sides to the midpoint of the base.
(b) No, a triangle cannot have only two lines of symmetry. If it has two, it must be an equilateral triangle, which has three lines of symmetry.
(c) Yes, an equilateral triangle has only three lines of symmetry. Each line goes from a vertex to the midpoint of the opposite side.
(d) Yes, a scalene triangle has no line of symmetry. All its sides are of different lengths, and all its angles are different.
In simple words: Yes, a triangle can have 1 line of symmetry (isosceles), 3 lines of symmetry (equilateral), or no lines of symmetry (scalene). It cannot have only 2 lines of symmetry.

🎯 Exam Tip: Remember the specific properties of each triangle type (isosceles, equilateral, scalene) to correctly identify their number of lines of symmetry.