How do we identify vertical and horizontal symmetry?

Short Answer

Image completion in non-verbal reasoning often uses symmetry, and vertical and horizontal symmetry are identified by checking how a figure is divided. Vertical symmetry means the left and right sides of a shape are mirror images of each other.

Horizontal symmetry means the top and bottom parts of a figure are identical or mirror each other. By checking these balance lines carefully, we can easily identify symmetry and complete missing parts of images.

Detailed Explanation:

Image completion symmetry identification

Meaning of vertical and horizontal symmetry

In non-verbal reasoning, symmetry means a figure is balanced in such a way that one part matches another part. Vertical and horizontal symmetry are two main types used in image completion problems.

Vertical symmetry divides a figure into left and right halves, while horizontal symmetry divides it into upper and lower halves. In both cases, one side reflects the other side in shape, size, and position.

These symmetry types help in understanding how an image is structured and how missing parts can be completed.

Vertical symmetry identification

Meaning of vertical symmetry

Vertical symmetry is identified when a figure can be divided into two equal parts using a vertical line. This line is called the axis of symmetry.

In this type, the left side of the figure is a mirror image of the right side. Both sides look exactly the same or very similar when flipped along the vertical line.

How to identify vertical symmetry

To identify vertical symmetry, we first imagine a straight line dividing the figure into left and right parts. Then we compare both sides carefully.

If both sides match in shape, size, and position, the figure has vertical symmetry. Even small details like lines and patterns must be identical on both sides.

This type is very common in image completion questions because many designs are balanced left and right.

Horizontal symmetry identification

Meaning of horizontal symmetry

Horizontal symmetry is identified when a figure is divided into two equal parts using a horizontal line. This line separates the upper and lower halves of the image.

In this type, the top part of the figure matches the bottom part when flipped.

How to identify horizontal symmetry

To identify horizontal symmetry, we imagine a horizontal line dividing the figure into upper and lower sections. Then we check if both parts are similar in structure.

If shapes, patterns, and designs match perfectly between top and bottom, the figure has horizontal symmetry. Any difference means the figure is not symmetrical.

This type is often seen in patterns where designs are repeated above and below a central line.

Key differences between vertical and horizontal symmetry

Direction of division

Vertical symmetry divides the figure left and right, while horizontal symmetry divides it top and bottom.

Mirror effect

In vertical symmetry, the mirror effect is side to side. In horizontal symmetry, the mirror effect is up and down.

Common usage

Vertical symmetry is more commonly used in image completion problems, while horizontal symmetry is often seen in patterns and designs with stacked elements.

Importance in image completion

Helps in finding missing parts

Symmetry helps in quickly identifying missing parts of a figure. If one side is known, the other side can be predicted easily.

Improves observation skills

It trains the mind to carefully observe both sides of a figure and notice small details.

Builds logical thinking

Symmetry helps in understanding how figures are structured logically and not randomly.

Increases accuracy

Using symmetry reduces guessing and improves correct answers in non-verbal reasoning problems.

Real-life examples

Vertical symmetry examples

Human face, butterfly wings, and buildings often show vertical symmetry.

Horizontal symmetry examples

Reflections in water and some geometric patterns show horizontal symmetry.

Conclusion

Vertical and horizontal symmetry are identified by checking how a figure is divided and whether both parts match as mirror images. Vertical symmetry compares left and right sides, while horizontal symmetry compares top and bottom parts. Understanding these types helps in solving image completion problems more accurately and improves visual reasoning skills.