Multiple choice question. Describe all symmetries of a square.

A) 2 lines of reflectional symmetry
B) 2 lines of reflectional symmetry, 180 degree rotational symmetry
C) 4 lines of reflectional symmetry
D) 4 lines of reflectional symmetry, 90 degree rotational symmetry

I believe the answer is D, Correct?

D is correct

yes, it would be D

Yes, the correct answer is D) 4 lines of reflectional symmetry, 90 degree rotational symmetry.

Yes, you are correct. The answer is D) 4 lines of reflectional symmetry, 90 degree rotational symmetry.

To arrive at this answer, we need to understand the concept of symmetries of a square.

A square is a geometric shape with four equal sides and four right angles. It has several symmetries, which are transformations that preserve its shape and size. The two main types of symmetries are reflectional symmetry and rotational symmetry.

1) Reflectional symmetry: A shape has reflectional symmetry if it can be divided into two equal halves by a line, called the line of symmetry, such that the two halves are mirror images of each other.

A square has four lines of reflectional symmetry. You can imagine the lines passing through opposite vertices or through the midpoints of opposite sides. Each line divides the square into two equal halves.

2) Rotational symmetry: A shape has rotational symmetry if it can be rotated by a certain angle (less than 360 degrees) and still looks the same.

A square has 90-degree rotational symmetry, which means it can be rotated by 90 degrees counterclockwise or clockwise and still appear the same. After a 90-degree rotation, a square will align perfectly with its original position.

Considering both reflectional symmetry and rotational symmetry, a square has 4 lines of reflectional symmetry and a 90-degree rotational symmetry.

Therefore, the correct answer is D) 4 lines of reflectional symmetry, 90 degree rotational symmetry.