Question
Which type of symmetry is shown by the lowercase letter w?
explain
reflectional symmetry
point symmetry
no symmetry
rotational symmetry
There is no rotational symmetry, as rotating the letter w by any angle will not result in the same shape. The letter w also does not have point symmetry, as there is no central point in the shape that divides it into equal halves. However, it does have reflectional symmetry. If a vertical line is drawn down the center of the letter w, the left half reflects the right half, resulting in two mirror images.
The lowercase letter "w" exhibits reflectional symmetry. This means that if a line is drawn vertically through the center of the letter, the two halves will be mirror images of each other. In other words, one half can be reflected to match the other half. This type of symmetry is also known as bilateral symmetry. The letter "w" does not have rotational symmetry, as it cannot be rotated by any angle and still look the same. Additionally, it does not have point symmetry, as there is no point that the letter can be rotated around to create symmetry. Therefore, the correct answer is reflectional symmetry.
To determine which type of symmetry is shown by the lowercase letter "w," we need to analyze its shape and properties.
Reflectional symmetry refers to an object's property of being able to be divided into two equal halves that are mirror images of each other. To check if the letter "w" has reflectional symmetry, we can draw a mirror line vertically through the center of the letter. If the two halves are mirror images of each other, then it has reflectional symmetry. In the case of the lowercase letter "w," we can see that its left half is not a mirror image of its right half. Therefore, we can conclude that it does not have reflectional symmetry.
Point symmetry, also known as rotational symmetry, is another type of symmetry where an object can be rotated by a certain angle around a central point, and it retains its original appearance. To determine if the letter "w" has point symmetry, we need to visualize if it can be rotated by any angle and still look the same. In this case, if we rotate the letter "w" by 180 degrees, it does resemble its original form. Consequently, we can infer that the letter "w" has rotational symmetry or point symmetry.
No symmetry refers to an object that does not possess reflectional or rotational symmetry. However, as mentioned earlier, the letter "w" does exhibit rotational symmetry, thus it cannot be considered as having no symmetry.
Therefore, the correct answer is "rotational symmetry" for the lowercase letter "w."