write any 2 properties of similar triangles class 10
Answers
Answer:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
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: The Similar triangles have the following properties are :
★ Similar triangles have the same shape but are not of the same size.
★ Each corresponding pair of angles of the two similar triangles is equal.
★ The ratio of any pair of corresponding sides of similar triangles is the same.
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As We know that, Two triangles are said to be similar if any of the similarity triangle theorems are proved.
★ AAA Similarity Criterion: If two triangles are equiangular, then they are similar.
★ SAS Similarity Criterion: If in two triangles, two pairs of corresponding sides are proportional and the included angles are equal then the two triangles are similar.
★ SSS Similarity Criterion: If the corresponding sides of two triangles are proportional, then they are similar
★ AA Similarity (Angle-Angle-Side) Criterion
The AA Similarity Criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.