In the image given below, if it is known that AB/DE = AC/DF, and ∠A = ∠DĪnd we can say that by the SAS similarity criterion, △ABC and △DEF are similar or △ABC ∼ △DEF. This rule is generally applied when we only know the measure of two sides and the angle formed between those two sides in both the triangles respectively. SAS or Side-Angle-Side Similarity CriterionĪccording to the SAS similarity theorem, if any two sides of the first triangle are in exact proportion to the two sides of the second triangle along with the angle formed by these two sides of the individual triangles are equal, then they must be similar triangles. In the image given below, if it is known that ∠B = ∠G, and ∠C = ∠F.Īnd we can say that by the AA similarity criterion, △ABC and △EGF are similar or △ABC ∼ △EGF.Ĭlick here to understand AA Similarity Criterion in detail- AA similarity criterion AA similarity rule is easily applied when we only know the measure of the angles and have no idea about the length of the sides of the triangle. AA (or AAA) or Angle-Angle Similarity CriterionĪA similarity criterion states that if any two angles in a triangle are respectively equal to any two angles of another triangle, then they must be similar triangles. Let us understand these similar triangles theorems with their proofs.
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