all similarity criteria class 10
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Step-by-step explanation:
Similarity is much like congruence, except in order for triangles to be similar, they only need to have the same shape.
- There are three easy ways to prove similarity. These techniques are much like those employed to prove congruence–they are methods to show that all corresponding angles are congruent and all corresponding sides are proportional without actually needing to know the measure of all six parts of each triangle.Similarity criteria for triangles
- There are three easy ways to prove similarity. These techniques are much like those employed to prove congruence–they are methods to show that all corresponding angles are congruent and all corresponding sides are proportional without actually needing to know the measure of all six parts of each triangle.Similarity criteria for trianglesTheorem 1: If the corresponding angles of two triangles are equal, then their corresponding sides are proportional and the triangles are similar. This is known as AAA similarity criterion.
- There are three easy ways to prove similarity. These techniques are much like those employed to prove congruence–they are methods to show that all corresponding angles are congruent and all corresponding sides are proportional without actually needing to know the measure of all six parts of each triangle.Similarity criteria for trianglesTheorem 1: If the corresponding angles of two triangles are equal, then their corresponding sides are proportional and the triangles are similar. This is known as AAA similarity criterion.Theorem 2: If the sides of one triangle are proportional to the corresponding sides of the other triangle, then their corresponding angles are equal and the triangles are similar. This is known as SSS similarity criteria.
- There are three easy ways to prove similarity. These techniques are much like those employed to prove congruence–they are methods to show that all corresponding angles are congruent and all corresponding sides are proportional without actually needing to know the measure of all six parts of each triangle.Similarity criteria for trianglesTheorem 1: If the corresponding angles of two triangles are equal, then their corresponding sides are proportional and the triangles are similar. This is known as AAA similarity criterion.Theorem 2: If the sides of one triangle are proportional to the corresponding sides of the other triangle, then their corresponding angles are equal and the triangles are similar. This is known as SSS similarity criteria.Theorem 3: If one angle of a triangle is equal to the corresponding angle of the other triangle and the sides including these angles are proportional, then the triangles are similar. This is known as SAS similarity criteria.
- There are three easy ways to prove similarity. These techniques are much like those employed to prove congruence–they are methods to show that all corresponding angles are congruent and all corresponding sides are proportional without actually needing to know the measure of all six parts of each triangle.Similarity criteria for trianglesTheorem 1: If the corresponding angles of two triangles are equal, then their corresponding sides are proportional and the triangles are similar. This is known as AAA similarity criterion.Theorem 2: If the sides of one triangle are proportional to the corresponding sides of the other triangle, then their corresponding angles are equal and the triangles are similar. This is known as SSS similarity criteria.Theorem 3: If one angle of a triangle is equal to the corresponding angle of the other triangle and the sides including these angles are proportional, then the triangles are similar. This is known as SAS similarity criteria.Theorem 4: When the corresponding angles of two triangles are equal, then the two triangles are similar. This is referred to as the AA similarity criterion. Strictly speaking, AA is as good as AAA, because of angle sum property of a triangle
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