![]() ![]() Students may be given the measurements of the sides or angles, or may have to measure them for themselves. These worksheets explains how to classify triangles as isosceles, scalene, equilateral, right, acute, or obtuse. If none of the sides are equal length it is called a scalene triangle. If a triangle has two equal sides (in length) it referred to as isosceles. In an equilateral it has all equal side lengths. ![]() We can also classify them by their sides. We can classify them by the angles that exist with a triangle. We explore the six main classifications of triangles. Obtuse -Obtuse are those that have an angle that measures more than 90 degrees but less than 180 degrees.Īcute -Acute are those that have all the angles of less than 90 degrees.Įquiangular -Equiangulars are those that have all its angles of the same measurement. Right -Right are those that have at least one angle of 90 degrees. Scalene -Scalenes are those that have all three sides of different measurements.īased on their angles, triangles are classified as the following four types: Isosceles - Isosceles are those shapes that two sides of equal measurement We need two congruent angles.īased on their sides, triangles are classified as the following three types:Įquilateral - As the name implies, equilateral are those that have all the three sides of the same measurement. Obtuse versions have angles that are greater than 90 degrees and two acute angles. We need one right angle and two acute angles to make right angles. All three angles of an acute triangle are less than 90 degrees. All equilateral triangles are isosceles triangle that has two congruent sides of the triangle.Īngles - We can classify triangles by their angles and it has different types. All three sides of equilateral triangle have the same measurement. In an isosceles triangle, two sides have exactly the same measurement. Three sides of the scalene triangle have different measurements. You will need to mark triangle sides that are congruent. Sides - An accurate measurement of triangle sides helps us to classify triangles. We differentiate them by their sides or angles. These shapes has different type of shapes and sizes. The measurements of these angles and sides may be different or the same size, there only maybe one distinctive angle any two angles or sides may be of equal measurements. They are classified based on their angles and sides. Each angle is a different size.Triangles are regular polygons with three sides and three angles. Two angles are the same size., and scalene triangles close scalene triangle Each side is a different length. All angles are 60°., isosceles triangles close isosceles triangle Two sides are equal in length. This gives the order of rotational symmetry.Ī unique set of properties relating to the comparative length of its sides and the comparative size of its angles help to identify equilateral triangles close equilateral triangle All sides are equal in length. Count how many ways the triangle will fit into its outline in a full turn (360°).This gives the number of lines of symmetry of the triangle. Count how many ways the triangle can be cut into a pair of mirrored halves.Different numbers of arcs indicate different angles.The same number of arcs indicate equal angles.Different numbers of hash marks indicate different lengths.The same number of hashes indicate equal lengths.To classify a triangle using comparative lengths or angles: in vertices close vertex The point at which two or more lines intersect (cross or overlap). The same number of marks indicate angles are equal in size. ![]() Recognise that arcs close arcs (annotation) Curved marks inside the vertex of a shape.The same number of marks indicate equal lengths. Recognise that hash marks close hash marks Short lines marked on the side or edge of a shape.Recognising line symmetry and rotational symmetry will also help. Understanding different types of angles and that angles in a triangle sum to 180° can be helpful when classifying a triangle. Other properties relate to the symmetry that the triangle has.are used to represent angles of equal measure. at vertices close vertex The point at which two or more lines intersect (cross or overlap). Arcs close arcs (annotation) Curved marks inside the vertex of a shape.are used to represent segments of equal length on diagrams. Do not distribute on websites, books, or any such material without permission. Copyright - Permission to copy: You are free to copy this worksheet to any number of students for their mathematics work. ![]() The same number of marks indicate equal lengths. Classify the triangles by their sides (equilateral, isosceles, scalene).
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