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 Criterion for Triangle Similarity?

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The AA (Angle-Angle) 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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What does it mean for triangles to be similar?

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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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What is the SSS Criterion for Triangle Similarity?

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The SSS (Side-Side-Side) 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 Criterion for Triangle Similarity?

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The SAS (Side-Angle-Side) 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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How do you find the height of a triangle using similarity?

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To find the height of a triangle using similarity, set up a proportion based on the corresponding sides of similar triangles.

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What is a similarity statement?

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A similarity statement is a mathematical expression that indicates that two figures are similar, typically written in the form ΔABC ~ ΔDEF.

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What is the relationship between the angles of similar triangles?

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

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If two triangles are similar, how do their areas compare?

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The areas of similar triangles are proportional to the square of the lengths of their corresponding sides.

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What is the ratio of the sides of similar triangles?

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The ratio of the lengths of corresponding sides of similar triangles is constant and is called the scale factor.