Triangle Proportionality Theorem

Front

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.

Tags

CCSS.HSG.SRT.A.2

Front

If a line segment divides two sides of a triangle proportionally, what can be concluded about the line segment?

Back

The line segment is parallel to the third side of the triangle.

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CCSS.HSG.SRT.B.4

Front

What is the formula for the Triangle Proportionality Theorem?

Back

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CCSS.HSG.SRT.B.4

Front

How can you find a missing length using the Triangle Proportionality Theorem?

Back

Set up a proportion using the known lengths and solve for the missing length.

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CCSS.HSG.CO.C.9

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

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CCSS.HSG.SRT.A.2

Front

How do you prove that two triangles are similar using the Triangle Proportionality Theorem?

Back

Show that the sides of one triangle are proportional to the sides of another triangle.

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CCSS.HSG.SRT.B.5

Front

What is a transversal in the context of triangles?

Back

A transversal is a line that intersects two or more lines, creating angles that can be used to establish proportional relationships.

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CCSS.HSG.CO.C.9

Front

Back

The segments are proportional to each other.

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CCSS.HSG.SRT.B.4

Front

What is the significance of the ratios in the Triangle Proportionality Theorem?

Back

The ratios indicate how the lengths of the sides relate to each other when a line is drawn parallel to one side.

Tags

CCSS.HSG.SRT.B.4