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.

Solution:

We will be using the concepts of the line of symmetry to solve this.

Symmetry states that one shape is identical to the other shape when it is moved, rotated, or flipped.

(a) Yes, Isosceles right-angled triangle has exactly one line of symmetry.

(b) No, we cannot draw any triangle with two symmetric lines.

(c) Yes, an equilateral triangle has three lines of symmetry.

(d) Yes, Scalene triangle has no lines of symmetry

NCERT Solutions for Class 6 Maths Chapter 13 Exercise 13.2 Question 4

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.

Summary:

(a) Isosceles right-angled triangle can be drawn which has exactly one line of symmetry. (b) We cannot draw any triangle with two symmetric lines. (c) An equilateral triangle can be drawn with three lines of symmetry. (d) Scalene triangle can be drawn which has no lines of symmetry.

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