NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 9: Symmetry and Practical Geometry - Fill in the Blanks
Question 20

Question. 20

The number of lines of symmetry in a rectangle and a rhombus are _____ (equal/unequal).

Answer:

equal.

Detailed Answer with Explanation:

  1. What is a line of symmetry?

    A line of symmetry is a line that divides a shape into two exact matching halves.

  2. Rectangle (not a square):

    • Draw a line through the middle from top to bottom. This is one symmetry line.
    • Draw a line through the middle from left to right. This is another symmetry line.
    • So, a rectangle has 2 lines of symmetry: (2).
    • Note: These lines are through the midpoints and are parallel to the sides, not diagonals.

  3. Rhombus (all sides equal, not necessarily a square):

    • The two diagonals of a rhombus cut it into matching halves.
    • Each diagonal is a line of symmetry.
    • So, a rhombus has 2 lines of symmetry: (2).

  4. Compare:

    Rectangle has (2) lines of symmetry. Rhombus has (2) lines of symmetry.

    Therefore, the numbers are equal.

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