Second Try 7th Period Fast and Curious: 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 corresponding sides are proportional.

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What does AA Similarity mean?

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AA Similarity (Angle-Angle Similarity) states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

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What does SSS Similarity mean?

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SSS Similarity (Side-Side-Side Similarity) 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 does SAS Similarity mean?

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SAS Similarity (Side-Angle-Side Similarity) 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 determine if two figures are similar?

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To determine if two figures are similar, check if their corresponding angles are equal and if the lengths of their corresponding sides are proportional.

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What is a scale factor?

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A scale factor is a number that scales, or multiplies, some quantity. In similar figures, it is the ratio of the lengths of corresponding sides.

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Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 6 and 9 respectively, what is the scale factor?

Back

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If triangle TUV has sides of lengths 4, 6, and 8, and is similar to triangle WXY, what are the lengths of the sides of triangle WXY if the scale factor is 2?

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The lengths of the sides of triangle WXY are 8, 12, and 16.

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What is the relationship between the areas of two similar figures?

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The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.