Respuesta :
Answer:
D
Step-by-step explanation:
A.
No. It is not possible. If a figure has reflectional symmetry it must have rotational symmetry. The letters H, O, and X are examples of this.
B.
No. It is not possible. If a figure has reflectional symmetry, it must have point symmetry, which is a special case of rotational symmetry. Since every line of symmetry of a figure passes through the center of the figure, the figure must be symmetric about that point.
C.
No. It is not possible. If a figure has reflectional symmetry, it must have rotational symmetry because a rotation is a composition of two reflections.
D.
Yes. It is possible for a figure to have reflectional symmetry without having rotational symmetry. The letters A, D, and W are examples of this.
From the question about the possibility of reflectional and no rotational symmetry, we can say that;
Yes. It is possible for a figure to have reflectional symmetry without having rotational symmetry. Examples are the letters A, H, and W;.
- Rotational Symmetry of an object is said to occur when after rotation of an object, the object still remains the same whereas reflectional symmetry of an object is said to occur when an object doesn't change after undergoing reflection about the line of symmetry.
To explain these types of symmetry, we will make use of letters to buttress the point.
- For reflection, if we reflect letters like A, H and W about a line of symmetry which is basically their mirror images, we will see that they will remain the same but however, if we attempt to rotate them, we will discover that the letters will not remain the same.
- We can also apply it to objects like isosceles triangles which has 2 equal sides. When we reflect it like a mirror about its' vertical axis of symmetry, we get the same as the original one but if we attempt to rotate it, we get a different object.
- From our explanations, we can see that a figure can have reflectional symmetry but no rotational symmetry.
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