Question

Which of the following figures have at least two lines of symmetry

A) the Only P
B) Both P and Q
C) Both Q and R
D) P, Q, R and S

Answer 1

Hint:
Firstly, let’s consider the figures one by one and draw the line of symmetry. Line of symmetry is a line which cuts the figure into equal parts and we can see that all the figures have more than two lines of symmetry.

Complete step by step solution:
A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged.
In figure P

We can see that figure P can be divided into four lines of symmetry
It means that figure P has at least two lines of symmetry
Now in figure Q,

We can see that the figure Q can be divided by four lines of symmetry
It means that the figure Q has at least two lines of symmetry
Let’s see figure R

We can see that figure R can be divided into four lines of symmetry
It means that figure R has at least two lines of symmetry
Now in figure S

We can see that the figure S can be divided by three lines of symmetry.
It means that the figure S has at least two lines of symmetry.
Therefore, from this, we can conclude that all the figures P, Q, R and S have at least two lines of symmetry.

The correct option is D.

Note:
1) The four main types of symmetry are translation, rotation, reflection, and glide reflection.
2) Circles have infinite lines of symmetry.
3) A rectangle has two lines of symmetry.
4) Symmetry is a property of certain geometrical objects that appears the same when mirrored or reflected along an axis. This axis has to cross the shape through the middle of that object dividing into equal halves.