Triangle Proportionality Theorem

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What is the Triangle Proportionality Theorem?

Back

The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Front

State the proportion used in the Triangle Proportionality Theorem.

Back

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What does it mean for triangles to be similar?

Back

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?

Back

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 SAS similarity theorem?

Back

The SAS (Side-Angle-Side) similarity theorem 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 SSS similarity theorem?

Back

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

Front

How do you find the value of x in a proportion?

Back

Front

What is a similarity statement?

Back

Front

What is the significance of parallel lines in triangles?

Back

Parallel lines in triangles create proportional segments on the intersecting sides, which can be used to prove similarity.

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How can you determine if two triangles are not similar?

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Two triangles are not similar if their corresponding angles are not equal or their corresponding sides are not in proportion.