Corresponding Sides of Similar Figures

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What are similar figures?

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Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

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What does it mean for two sides to be corresponding sides?

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Corresponding sides are the sides of similar figures that are in the same relative position. For example, in two similar triangles, the side opposite the same angle in each triangle is a pair of corresponding sides.

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How do you find the length of a corresponding side in similar figures?

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To find the length of a corresponding side, set up a proportion using the lengths of the known sides of the similar figures and solve for the unknown side.

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What is the relationship between the ratios of corresponding sides of similar figures?

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What is the scale factor in similar figures?

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The scale factor is the ratio of the lengths of two corresponding sides of similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

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How do you determine which sides correspond in similar triangles?

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To determine which sides correspond in similar triangles, match the angles of the triangles. The sides opposite equal angles are corresponding sides.

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