Equilateral Triangle
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Equilateral triangles have all angles equal to 60° and all sides equal length.
All equilateral triangles have 3 lines of symmetry.
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Isoscles Triangle
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Isosceles triangles have 2 angles equal and 2 sides of equal length.
All isosceles triangles have a line of symmetry.
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Scalene Triangle
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Scalene triangles have no angles equal, and no sides of equal length.
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Right Triangle
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Right triangles (or right angled triangles) have one right angle (equal to 90° ).
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Obtuse Triangle
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Obtuse triangles have one obtuse angle (an angle greater than 90° ). The other two angles are acute (less than 90° ).
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Acute Triangle
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Acute triangles have all angles acute.
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Is an Equilateral triangle a special case of an Isosceles triangle?
This means that there is some dispute as to whether an equilateral triangle is a special case of an isosceles triangle or not!
Most modern textbooks include use the 'at least' definition for isosceles triangles.
List of Geometric Shapes - Quadrilaterals
A quadrilateral is a polygon with 4 sides.
Quadrilaterals are also sometimes called quadrangles or tetragons.
There are quite a few members of the quadrilateral family. There are also some members which are a subset of other members of this family!
See below if this confuses you!
See below if this confuses you!
Square
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Squares have 4 equal sides and 4 right angles.
They have 4 lines of symmetry.
All squares belong to the rectangle family.
All squares belong to the rhombus family.
All squares are also parallelograms.
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Rectangle
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Rectangles have 4 sides and 4 right angles.
They all have 2 lines of symmetry (4 lines if they are also a square!)
All rectangles belong to the parallelogram family.
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Rhombus
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Rhombuses (rhombii) have 4 equal sides.
Both pairs of opposite sides are parallel.
They all have 2 lines of symmetry (4 lines if they are a square!)
All rhombuses belong to the parallelogram family.
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Parallelogram
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Parallelograms have 2 pairs of parallel sides.
Some parallelograms have lines of symmetry (depending on whether they are also squares, rectangles or rhombuses), but most do not.
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Trapezoid US
(Trapezium UK) |
Trapezoids US (Trapeziums UK) have one pair of parallel sides.
Some trapezoids have a line of symmetry.
Please note the differences between the definitions for US and UK.
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Kite
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Kites have 2 pairs of equal sides which are adjacent to each other.
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Trapezium US
(Trapezoid UK) |
Trapeziums US (Trapezoids UK) are quadrilaterals with no parallel sides.
Please note the differences between the definitions for US and UK.
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