Which numbers have symmetry




















When a mirror is placed along the diagonal of a rectangle, the result does not look the same as the original rectangle, so the diagonal is not a line of symmetry.

This new shape — the combination of the triangular half of the original rectangle and its image in the mirror — is called a kite. Well before children begin any formal study of symmetry, playing with mirrors — perhaps on Pattern Block designs that they build — develops experience and intuition that can serve both their geometric thinking and their artistic ideas.

The colorful design above has only vertical and horizontal lines of symmetry, but placing a mirror on it at another angle can create a beautiful new design. More intrepid experiments give other interesting results. Note that some figures, like the star and the colorful blob at the top of the page, but not the letters N, Z, or S, have both reflective and rotational symmetry. A circle has infinitely many lines of symmetry: any diameter lies on a line of symmetry through the center of the circle.

Types of lines of symmetry is Vertical and Horizontal Symmetry. Answer: Number 0 has 2 lines of symmetry. Number 3 has one horizontal line of symmetry. Number 4, 5, 6 and 7 has no symmetry. Number 8 has 2 lines of symmetry. Answer: Isosceles Triangle has 1 line of symmetry. Those letters cannot be folded in half in any way with the parts matching up.

Notice that the A has a vertical line of symmetry, while the B, C, D, and E have a horizontal line of symmetry. There are four types of symmetry that can be observed in various situations, they are: Translation Symmetry. Rotational Symmetry. Reflection Symmetry. Glide Symmetry. Skip to content Articles. May 6, Joe Ford.

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