Similar Figures: Finding Missing Sides and Angles

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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 corresponding sides are proportional.

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How do you find missing sides in similar figures?

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To find missing sides in similar figures, set up a proportion using the lengths of corresponding sides from the two figures. Solve for the unknown side.

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What is the property of corresponding angles in similar figures?

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In similar figures, corresponding angles are equal.

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If two triangles are similar, what can be said about their sides?

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The lengths of corresponding sides of similar triangles are in proportion.

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How do you use proportions to find a missing height?

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To find a missing height using proportions, set up a ratio comparing the height of the object to a known height, and solve for the unknown.

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What is the formula for finding the scale factor between two similar figures?

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The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

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How do you find missing angles in similar triangles?

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To find missing angles in similar triangles, use the fact that the sum of angles in a triangle is 180 degrees and that corresponding angles are equal.

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What is the relationship between the sides of similar triangles?

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The ratios of the lengths of corresponding sides of similar triangles are equal.

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