Question

Which graphs have rotational symmetry? Check all that apply

Answer 1

Answer:

The answers are (A) & (C)

Step-by-step explanation:

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Answer 2

Answer:

Option A and C have rotational symmetry.

Step-by-step explanation:

The graph of odd functions have rotational symmetry about its origin.

Here the first graph is a graph of f(x)=$f(x)=x^3$ which is an odd function bearing an exponent of 3.

A function is "odd"  when we plug in any negative value in $f(x)$ then it gives negative of $f(x)$.

And we also know that when a graph is mirroring about the y-axis then it is an even functions.

For even functions we have reflection symmetry rather than rotational symmetry.

The second graph is a graph of $f(x)=-modulus (x)$ which is an even function as we can see that its graph is mirroring about the y-axis.

The third graph is a graph of an ellipse which is possessing  rotational symmetry.

The order of symmetry of an ellipse is generally 2.

Order of symmetry:

The order of rotational symmetry of an object is how many times that object is rotated and fits on to itself during a full rotation of 360 degrees.

So graph A and C have rotational symmetry.