Triangle Similarity

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What is Triangle Similarity?

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Triangle similarity refers to the concept that two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

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What is the AA Similarity Postulate?

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The AA Similarity Postulate 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 means that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

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What is SAS Similarity?

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SAS Similarity states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

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What is a scale factor in triangle similarity?

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The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

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If k > 1, what does this indicate about the triangles?

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If k > 1, the second triangle is an enlargement of the first triangle.

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If 0 < k < 1, what does this indicate about the triangles?

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If 0 < k < 1, the second triangle is a reduction of the first triangle.

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What is the Vertical Angle Theorem?

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The Vertical Angle Theorem states that vertical angles are equal.

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What is the Reflexive Property?

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The Reflexive Property states that any geometric figure is congruent to itself.

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How do you determine if two triangles are similar using corresponding angles?

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If two angles of one triangle are equal to two angles of another triangle, the triangles are similar by AA Similarity.