Symmetry

Reflection Symmetry for Class 5 Math

What is Reflection Symmetry?

Reflection symmetry is also known as mirror symmetry. Here students will learn about reflection symmetry images.

In this learning concept, the students will learn to

• classify reflection symmetry in the alphabet.
• Identify reflection symmetry.
• Evaluate the symmetrical lines in the symmetrical objects.

Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.

Download the reflection symmetry worksheet for class 5 and check the solutions for the reflection symmetry questions provided in PDF format.

Symmetrical Objects:

• The object is said to be symmetric if at least one line can divide the object into two equal halves.
• The line that divides the object into two equal halves is called the line of symmetry.
• A symmetric object may have infinite lines of symmetry.

• The object which is not symmetric that is it cannot be divided into two equal halves is called an asymmetric object.

What Is Reflection Symmetry?

• If there exists at least one line that divides the objects into two halves such that one half is the mirror image of the other half then it is called reflective symmetry.
• In reflective symmetry, one half is reflective of the other half.
• Reflective symmetry is also known as line symmetry or mirror symmetry.
• The line of symmetry can be in any direction, either horizontal, vertical, or slanting.

Reflection Symmetry in a Regular Polygon

• A polygon in which all the sides are equal is called a regular polygon.
• All regular polygon shows reflective symmetry.
• The number of lines of symmetry of a regular polygon is equal to the number of sides of the polygon.
• For example, an equilateral triangle has 3 lines of symmetric.

• A square has four lines of symmetry.

• Similarly, a regular pentagon has 5 lines of symmetry and a regular hexagon has 6 lines of symmetry, and so on.

Reflection Symmetry in Alphabets

• In English alphabets, letters A, H, I, M, O, T, U, V, W, X and Y have reflectional symmetry about the vertical mirror.

• In English alphabets, letters B, C, D, E, H, I, O, and X have reflectional symmetry about the horizontal mirror.

• In English alphabets, letters O, X, I, and H have both vertical and horizontal mirror reflective.

• In English alphabets, letters F, G, J, K, L, N, P, Q, R, S, and Z does not have reflective symmetry.

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