Triangle Similarity

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What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side, a criterion for triangle similarity where two sides of one triangle are proportional to two sides of another triangle, and the included angle is equal.

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What does AA stand for in triangle similarity?

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AA stands for Angle-Angle, a criterion for triangle similarity where two angles of one triangle are equal to two angles of another triangle.

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What does SSS stand for in triangle similarity?

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SSS stands for Side-Side-Side, a criterion for triangle similarity where all three sides of one triangle are proportional to the three sides of another triangle.

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What does ASA stand for in triangle similarity?

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ASA stands for Angle-Side-Angle, a criterion for triangle similarity where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

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What is the relationship between similar triangles?

Back

Similar triangles have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

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

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If two triangles are similar by AA, their corresponding sides are proportional.

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Can triangles be similar if they do not have any equal angles?

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No, triangles cannot be similar if they do not have any equal angles.

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What is the significance of 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, the triangles are similar.

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How can you prove triangles are similar using SAS?

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To prove triangles are similar using SAS, show that two sides of one triangle are proportional to two sides of another triangle and that the included angles are equal.

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What is the difference between congruent and similar triangles?

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Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.