Similar triangles as it relates to slope
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Similar triangles are a pair of triangles that have the same shape but possibly different sizes. The concept of similarity is related to the ratio of their corresponding side lengths, but it is also linked to their slopes. Two triangles are considered similar if their corresponding angles are equal and their corresponding side lengths have the same ratio. When comparing the slopes of the sides of similar triangles, they will be equal to each other. This means that the ratio of the vertical change to the horizontal change between two corresponding sides will be the same in similar triangles.
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