State whether the following statement is true or false.

A square has both rotational and line symmetry of a higher order than one.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

True

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Here, we have to find the both rotational and line symmetry of a square.
In a square, there are four lines of symmetry as shown below.
Question Image

These four lines indicate that the above square has an order of line symmetry = 4.
Also, when a square is rotated through the angles of

90 °, 180 °,

270 °, 360 °,

It appears to be the same as the rotational figure, so we can say that it has rotational symmetry of order 4.
Question Image

Thus, the order of rotational symmetry of the square is 4, which is more than 1.
Hence, a square has both rotational and line symmetry of a higher order than one.
Therefore, the given statement is true.
So, option (1) is correct.

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!