Triangle Similarity

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What is Triangle Similarity?

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Triangle similarity refers to the property of two triangles having the same shape but possibly different sizes. This means that their corresponding angles are equal and their corresponding sides are proportional.

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What does AA stand for in triangle similarity?

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AA stands for Angle-Angle. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

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What does SAS stand for in triangle similarity?

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SAS stands for Side-Angle-Side. If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

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What does SSS stand for in triangle similarity?

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SSS stands for Side-Side-Side. If the corresponding sides of two triangles are proportional, then the triangles are similar.

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

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The corresponding angles of similar triangles are congruent (equal in measure).

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

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The corresponding sides of similar triangles are proportional.

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How can you determine if two triangles are similar using proportions?

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You can set up a proportion comparing the lengths of corresponding sides. If the ratios are equal, the triangles are similar.

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What is the similarity statement for triangles KLM and KED if they are similar by AA?

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What is the missing side if triangle KLM is similar to triangle KED and the sides are in the ratio 2:3?

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If the corresponding sides are in the ratio 2:3, you can find the missing side using proportions.

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If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their areas?

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