CB 4-17a Similar Triangles Proofs Review

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What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

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What does AA ~ stand for in triangle similarity?

Back

AA ~ stands for 'Angle-Angle Similarity', which states that 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?

Back

SAS ~ stands for 'Side-Angle-Side Similarity', which states that if two sides of one triangle are in proportion 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?

Back

SSS ~ stands for 'Side-Side-Side Similarity', which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

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What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, which is often used in proofs.

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How can you prove that two triangles are similar using AA?

Back

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

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How can you prove that two triangles are similar using SAS?

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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 by the SAS criterion.

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How can you prove that two triangles are similar using SSS?

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If the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar by the SSS criterion.

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What is the importance of corresponding angles in similar triangles?

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Corresponding angles in similar triangles are equal, which is a key criterion for establishing triangle similarity.

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What is the significance of proportional sides in similar triangles?

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In similar triangles, the lengths of corresponding sides are proportional, which helps in solving problems related to triangle similarity.