Triangle Similarity (Images and Proofs)

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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 (Angle-Angle) 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 is the Reflexive Property in geometry?

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

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What does SAS similarity postulate stand for?

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SAS (Side-Angle-Side) similarity postulate 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 the SSS similarity postulate?

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The SSS (Side-Side-Side) similarity postulate states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

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What are corresponding angles?

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Corresponding angles are angles that are in the same position in different triangles when the triangles are positioned similarly.

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What are corresponding sides?

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Corresponding sides are sides that are in the same relative position in different triangles when the triangles are similar.

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How do you find missing sides using proportions?

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To find missing sides using proportions, set up a proportion equation based on the ratios of the corresponding sides of the similar triangles and solve for the unknown.

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What is the Vertical Angle Theorem?

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The Vertical Angle Theorem states that opposite angles formed by two intersecting lines are equal.

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What is the significance of the AA similarity postulate in proofs?

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The AA similarity postulate is significant in proofs because it provides a straightforward way to establish the similarity of triangles based on angle measures.