Shapes and Patterns

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A tessellation is when shapes fit together perfectly to cover a surface without any gaps or overlaps. Examples include squares, equilateral triangles, and regular hexagons that can tessellate.

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Only three regular shapes can tessellate: equilateral triangles (6 meet at a point), squares (4 meet at a point), and regular hexagons (3 meet at a point).

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No, regular pentagons cannot tessellate. When you try to fit them together around a point, there are always gaps left over because their angles don't add up to 360 degrees perfectly.

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An equilateral triangle is a triangle where all three sides are equal in length and all three angles are equal (60 degrees each). It is also called a regular triangle.

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An isosceles triangle is a triangle that has two equal sides and two equal angles. The equal angles are opposite to the equal sides.

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A scalene triangle is a triangle where all three sides are different lengths and all three angles are different. No sides or angles are equal.

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A parallelogram is a quadrilateral (4-sided shape) where opposite sides are equal and parallel. Opposite angles are also equal in a parallelogram.

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A rectangle is a special type of parallelogram where all angles are right angles (90 degrees). Opposite sides are equal and parallel, and all four angles are equal.