Question

Give three examples of shapes with no line of symmetry.

Answer 1

Hint: To answer this question first we have to know about the line symmetry in geometric shapes. Then we will find out which shape has no line of symmetry.

Complete step by step answer:
Now, we know that line symmetry is a mirror image taking place across a line. Line symmetry divides the shape into two halves and when we fold the shape from that line, one side should overlap the other side exactly.
Now, we know that the three examples of shapes with no line of symmetry are-
A scalene triangle – A scalene triangle has no line symmetry because it has all sides unequal in length.

A parallelogram – A parallelogram has opposite sides equal and parallel but a parallelogram has no line of symmetry.

A trapezium – In a trapezium, only two opposite sides are parallel to each other. A trapezium doesn’t have equal sides so it has no line of symmetry.

So, we have a scalene triangle, trapezium, and a parallelogram with no line of symmetry.

Note:
Before solving this question a student must have a clear idea about line symmetry and rotational symmetry. Rotational symmetry is that a shape rotated around a point. We have shapes like an equilateral triangle, rhombus, square, rectangle which has the line and rotational symmetry.