![]() ![]() You may construct an equilateral triangle of a provided side length using a straightedge and a compass. It is a specific case of a regular polygon, but here, with three sides. The Equilateral has a property with all three interior angles. The examples of the isosceles are the golden triangle, isosceles right triangles, and the faces of bipyramids as well as certain Catalan solids.Įquilateral - This is a triangle that has all three sides equal or of the same length. You can find the other two isosceles triangles if you have one interior angle. These isosceles shapes are used in regular polygon areas plus, the triangles are called 45-45-90. The congruent sides are called legs from the vertex angle, and the other two are base angles. ![]() Isosceles - Suppose two sides of a triangle are congruent, the angles that are opposite are congruent. What Are Equilateral and Isosceles Triangles? When it comes to angles of triangles: acute (all angles are acute), right (one right angle), obtuse (one obtuse angle), and equiangulars (you guessed it have all equal angles). If all sides are equal it is called equilateral. The Isosceles Triangle Theorem tells us that if you have an isosceles triangle the angles opposite the congruent sides are also congruent. If two sides of a triangle are congruent that are considered the same in all respects. If the length of two sides of the triangle are equal it is called isosceles. If all the lengths of their sides are different it is scalene. So all other quadrilaterals are irregular.Triangles are often classified by either their number of sides or the measures of their angles. The only regular (all sides equal and all angles equal) quadrilateral is a square. and that's it for the special quadrilaterals. one of the diagonals bisects (cuts equally in half) the other.the diagonals, shown as dashed lines above, meet at.The KiteĮach pair is made of two equal-length sides that join up. (the US and UK definitions are swapped over!)Īn Isosceles trapezoid, as shown above, has left and right sides of equal length that join to the base at equal angles. NOTE: Squares, Rectangles and Rhombuses are allĪ trapezoid (called a trapezium in the UK) has a pair of opposite sides parallel.Īnd a trapezium (called a trapezoid in the UK) is a quadrilateral with NO parallel sides: Also opposite anglesĪre equal (angles "A" are the same, and angles "B" The ParallelogramĪ parallelogram has opposite sides parallel and equal in length. In other words they "bisect" (cut in half) each other at right angles.Ī rhombus is sometimes called a rhomb or a diamond. The RhombusĪ rhombus is a four-sided shape where all sides have equal length (marked "s").Īlso opposite sides are parallel and opposite angles are equal.Īnother interesting thing is that the diagonals (dashed lines) meet in the middle at a right angle. The SquareĪ square has equal sides (marked "s") and every angle is a right angle (90°)Ī square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length). ![]() ![]() The little squares in each corner mean "right angle"Ī rectangle is a four-sided shape where every angle is a right angle (90°).Īlso opposite sides are parallel and of equal length. Let us look at each type in turn: The Rectangle Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms. There are special types of quadrilateral: They should add to 360° Types of Quadrilaterals Try drawing a quadrilateral, and measure the angles. interior angles that add to 360 degrees:.(Also see this on Interactive Quadrilaterals) Properties ![]()
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