Triangle Similarity (Images and Proofs)

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What is Triangle Similarity?

Back

Triangle similarity refers to the concept that two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

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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.

Tags

CCSS.HSG.SRT.B.5

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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.

Tags

CCSS.HSG.SRT.B.5

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What does SAS similarity postulate stand for?

Back

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.

Tags

CCSS.HSG.SRT.B.5

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What is the SSS similarity postulate?

Back

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

Tags

CCSS.HSG.SRT.B.5

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What are corresponding angles?

Back

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

Tags

CCSS.8.G.A.5

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What are corresponding sides?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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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.

Tags

CCSS.HSG.SRT.A.2

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What is the Vertical Angle Theorem?

Back

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

Tags

CCSS.8.G.A.5

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

Back

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

Tags

CCSS.HSG.SRT.B.5