Some shapes, such as a scalene triangle, have no lines of symmetry – it is not possible to fold the shape about a line so that the two halves fit exactly on top of one another. Only eight of the possible lines of symmetry are indicated below. A circle has an infinite number of lines of symmetry since it can be folded about any diameter. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four. The following all have line symmetry: A shape can have more than one line of symmetry. The dashed lines represent lines of symmetry, and each shape is said to be symmetrical about this line. This type of symmetry is called line symmetry, Any isosceles triangle has line symmetry. The reflection in the mirror gives the other half of the shape. Imagine a mirror placed along the central dotted line. Then one side lies exactly on top of the other, and gives the shape on the right. The symmetry of the shape on the left and its relationship to the shape on the right can be thought of in two ways:įold the left-hand shape along the central line. No triangle can be formed which has exactly two lines of symmetry. The triangle also has 2 equal interior sides. Is there a line of symmetry in an isosceles triangle?Īnswer: An isosceles triangle has 1 line of symmetry. An isosceles triangle is defined as a triangle with two sides of equal length. However, if the isosceles triangle is also an equilateral triangle, then it has three lines of symmetry. 9 Can an isosceles triangle have 3 congruent angles?Ĭan isosceles triangle have 3 lines of symmetry?Īnswer and Explanation: An isosceles triangle has one line of symmetry.8.1 What if an isosceles triangle has more than one line of symmetry?.8 Can a triangle have 3 lines of symmetry?.7 Is there a triangle with 3 lines of symmetry?.5.2.1 Which quadrilateral has no line of symmetry?.5.1.1 Are two sides of an isosceles triangles always equal?.5.1 What is the rule for isosceles triangles?.4.4 Do all triangles have 3 lines of symmetry?.4.3 What shape has 0 lines of symmetry?.4.2.1 Why can’t triangles have 2 lines of symmetry?.4.2 Why can’t a triangle have 2 lines of symmetry?.4.1 Which triangle has 1 line of symmetry?.4.0.1 Which triangle has 3 lines of symmetry?.4 Which quadrilateral can have up to 4 lines of symmetry?.3 Are all 3 sides of an isosceles triangle the same?.2.1.1 What shape has 3 lines of symmetry?.2.1 Which triangle has 2 lines of symmetry?.2 Is there a line of symmetry in an isosceles triangle?.1 Can isosceles triangle have 3 lines of symmetry?.
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