Question

100 POINTS Which statement about this figure is true?

It has no rotational symmetry.

It has rotational symmetry with an angle of rotation of 90°.

It has reflectional symmetry with four lines of symmetry.

It has point symmetry

before you answer, just know it does have rotational symmetry, just not 90° so A and B are out. i'm just stumped about C and D

Answer 1

It has reflectional symmetry with four lines of symmetry.

Step-by-step explanation:

Answer 2

Answers: C and D

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Step-by-step explanation:

Choice A is false since it does have rotational symmetry. See choice B.

Choice B is close, but the "90 degrees" needs to be "45 degrees". Each 45 degree rotation of the figure has the "before" and "after" be the same.

Choice C is one of the answers. There's a vertical line of symmetry, and a horizontal one as well. Then there are two diagonal lines of symmetry. Each goes through the center. A line of symmetry is a mirror line to allow us to reflect one half over this line to get the other half.

Choice D is another answer. It has point symmetry since we can pick any point on the figure and reflect it over the center point, to land on a corresponding image point on the opposite side of the figure. For example, the northern most point reflects over the center to land on the southern most point.