Triangles

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Similar figures are figures that have the same shape but not necessarily the same size. Examples: All circles are similar to each other, all squares are similar to each other, all equilateral triangle

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All congruent figures are similar, but similar figures need not be congruent. Congruent figures have both the same shape and same size, while similar figures only need to have the same shape. Congruen

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Two polygons of the same number of sides are similar if: (i) their corresponding angles are equal, and (ii) their corresponding sides are in the same ratio (proportion). Both conditions must be satisf

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The scale factor (or Representative Fraction) is the constant ratio in which corresponding sides of similar figures are related. If two similar figures have corresponding sides in the ratio a:b, then

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If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio. In triangle ABC, if DE || BC, then AD

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If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. In triangle ABC, if AD/DB = AE/EC, then DE || BC.

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Two triangles are similar if: (i) their corresponding angles are equal, and (ii) their corresponding sides are in the same ratio (proportion). When triangles are similar, we write △ABC ~ △DEF, where ~

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Equiangular triangles are triangles whose corresponding angles are equal. According to Thales' theorem, the ratio of any two corresponding sides in two equiangular triangles is always the same, which