RBSE Solutions Class 6 Maths Chapter 11 Symmetry More Ques

Question 1. A dashed line is drawn in each of the following figures. Can you tell whether the line is a line of symmetry or not?
Answer: The dashed lines in figures (i), (ii), (iii), (v), and (vi) are lines of symmetry. This means if you fold the figure along that line, both halves will match exactly. However, the dashed line drawn in figure (iv) is not a line of symmetry because the two sides would not perfectly align if folded along that line.
In simple words: Look at each picture. If the dashed line divides the picture into two identical mirror halves, it's a line of symmetry. For figure (iv), the line doesn't make mirror halves.

🎯 Exam Tip: To check for symmetry, imagine folding the figure along the line. If both sides are exactly the same, it's a line of symmetry.

Question 2. Two lines of symmetry made in the figures below.
(i) Name the lines of symmetry in each figure.
(ii) Is there a figure in which both the lines are lines of symmetry?
(iii) Is AB (the vertical line) the line of symmetry in all the figures.
(iv) Is there any figure in which none of the dashed lines are lines of symmetry?
Answer:
(i) The lines of symmetry for each figure are:

(ii) Yes, figure (iii) has both lines as lines of symmetry. This means it can be folded in two different ways to create mirror images.
(iii) No, the line AB is not a line of symmetry in all the figures shown.
(iv) Yes, figure (iv) has no dashed lines that act as lines of symmetry.
In simple words: For each picture, we check which dashed lines make it symmetrical. Figure (iii) is special because both its lines make perfect halves. Figure (iv) has no lines that divide it into mirror images.
🎯 Exam Tip: When naming lines of symmetry, always refer to the specific labels given in the diagram, such as 'AB' or 'CD'.

Text Book Question

Question 1. Carefully look at the pictures below. Discuss with your friends and answer the following questions.
(i) Two pictures are divided with dashed lines. The dashed line divides the picture in how many parts?
(ii) Are these parts identical?
(iii) Can we draw more lines like the one already drawn?
(iv) Can we draw such line in all the picture above? Do try and see.
Answer:
(i) The dashed line divides each picture into two identical parts. A line of symmetry always splits a shape into two mirror halves.
(ii) Yes, these parts are identical. They are exactly the same on both sides of the dashed line.
(iii) No, more such lines cannot be drawn for these specific figures (umbrella and butterfly as initially shown).
(iv) Yes, lines of symmetry can be drawn in some other pictures that are not shown in the original question, as demonstrated in the example figures later.
In simple words: Each picture is cut into two equal, matching halves by the dashed line. We cannot draw more such lines for these specific figures.

🎯 Exam Tip: When analyzing lines of symmetry, always check if the parts created by the line are truly identical and if the figure can be folded along that line to perfectly overlap.