Similarity for Triangle
If the sides of two triangles have the same ratio or percentage that means they are corresponding sides and the angles are equal that means they are corresponding angles, then the triangles are similar. Triangles that are similar to one another may have varying side lengths individually, but they must have equal angles and the same scale factor, or ratio, between their side lengths. If two triangles resemble one other.
- Every triangle’s associated angle pair is equal.
- Triangles have all of their matching sides in the same proportion.
Let’s examine how triangles and the three theorems relate to each other in terms of angles and sides.
Angle-Angle (AA) Criterion
In this term, If two pairs of corresponding angles in a pair of triangles are congruent, then the two triangles are similar.
Angle-Angle (AA) Criterion
Side-Side-Side (SSS) Criterion
Two triangles are congruent if the three sides of a triangle are equal to the corresponding three sides of the other triangle.
Two triangles are given below ABC = DEF such that AB = DE, BC = EF, and AC = DF.
Side-Side-Side (SSS) Criterion
Side-Angle-Side (SAS) Criterion
Two triangles are congruent if two sides and the included angle of one are equal to the corresponding sides and the included angle of the other triangle.
Two triangles are given below ABC congruent to DEF such that ∠ BAC = ∠DEF and AB = DE, AC = DF.
Side-Angle-Side (SAS) Criterion
Similar Figures
Similar figures are two figures having the same shape. Similar figures can or can not have the same area. Congruent shapes are the shapes that are the same with the same areas.
In this article, we will learn about, similar figures, properties of similar figures, related examples and others in detail.
Table of Content
- What is Similarity in Maths?
- What are Similar Figures?
- Properties of Similar Figures
- Scale Factor
- Similarity for Triangle
- Real-world Examples
- Applications of Similar Figures
- Conclusion Similar Figures
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