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Similar Triangles

  • Similar triangles are two triangles that have the same shape but may have different sizes.

  • They have the same angles, but their sides may be different lengths.

  • The ratio of the corresponding sides of similar triangles is always the same.

  • This ratio is called the scale factor.

  • The scale factor is the ratio of any two corresponding sides of the two triangles.

  • To show that two triangles are similar, we use the symbol ∼ (tilde) between their names.

  • We can use the properties of similar triangles to find missing side lengths or angles.

Overall, similar triangles are important to understand in geometry because they help us compare and measure objects in the real world, such as buildings, trees, and even mountains.

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