similar triangles

Same angles, different sizes

Similar triangles are triangles that have the same shape but not necessarily the same size—their corresponding angles are equal and their corresponding sides are proportional.

If one triangle has sides twice as long as another but the same angles, they're similar.

The concept is fundamental in geometry, trigonometry, and real-world applications like surveying and architecture: Using similar triangles, she calculated the height of the building from its shadow.

Related

geometry · proof · corresponding · corresponding angles · sides · vertices · AAA · SAS · parallel · transversal · altitude · median · geometric mean · Pythagorean · hypotenuse · legs · equilateral · isosceles

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Opposites
degree of sameness

similar trianglescongruent triangles

Figures with equal corresponding parts

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