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 does it mean for two triangles to be similar?

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Two triangles are similar if they have the same shape but not necessarily the same size, which means their corresponding angles are equal and their corresponding sides are proportional.

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What is the SSS similarity criterion?

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The SSS (Side-Side-Side) similarity criterion 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 is the SAS similarity criterion?

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The SAS (Side-Angle-Side) similarity criterion 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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What is the AA similarity criterion?

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The AA (Angle-Angle) similarity criterion 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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If triangle ABC is similar to triangle DEF, what can we say about their angles?

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The corresponding angles of triangle ABC and triangle DEF are equal.

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If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to triangle ABC with a scale factor of 2, what are the lengths of the sides of triangle DEF?

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The lengths of the sides of triangle DEF are 6, 8, and 10.

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What is the relationship between corresponding sides of similar triangles?

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The corresponding sides of similar triangles are proportional.

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If triangle XYZ is similar to triangle NEW and the length of side XY is 7, what is the length of side NE if the scale factor is 3?

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The length of side NE is 21.

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How do you determine if two triangles are similar using the AA criterion?

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To determine if two triangles are similar using the AA criterion, check if two angles of one triangle are equal to two angles of the other triangle.