Triangle Similarity Review

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What is the definition of similar triangles?

Back

Similar triangles are triangles 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 is the Triangle Similarity Postulate?

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The Triangle Similarity Postulate states that if two triangles have two pairs of corresponding angles that are equal, then the triangles are similar.

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How can you determine if two triangles are similar using side lengths?

Back

Two triangles are similar if the ratios of the lengths of their corresponding sides are equal.

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What is the significance of the AA criterion for triangle similarity?

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The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.

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What is the SSS similarity criterion?

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The SSS similarity criterion states that if the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

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What is the SAS similarity criterion?

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The SAS similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

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

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

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What is a common ratio in the context of similar triangles?

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A common ratio is the ratio of the lengths of corresponding sides of similar triangles, which remains constant.

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What does it mean if the ratios of corresponding sides are not equal?

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If the ratios of corresponding sides are not equal, then the triangles are not similar.

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How can you use the properties of similar triangles to solve real-world problems?

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You can use the properties of similar triangles to find unknown lengths or heights in real-world scenarios, such as in architecture or navigation.