Triangle Proportionality Theorem Worksheet

Explore the Triangle Proportionality Theorem with this worksheet for Grade 6, featuring problems on parallel lines and proportional segments.

Grade 6 Math GeometryTriangle Proportionality Theorem

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Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.6.G.A.1CCSS.MATH.CONTENT.7.G.A.2

Topics

mathgeometrytriangle proportionality theoremgrade 6

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Triangle Proportionality Theorem

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Read each question carefully and answer to the best of your ability. Use the Triangle Proportionality Theorem to solve for unknown lengths in the given triangles.

1. State the Triangle Proportionality Theorem in your own words.

2. If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides .

3. In triangle ABC, if line DE is parallel to BC, then AD/DB = AE/ .

4. In the triangle below, line DE is parallel to BC. If AD = 6 cm, DB = 9 cm, and AE = 4 cm, find the length of EC.

5. Which of the following conditions must be true for the Triangle Proportionality Theorem to apply?

The triangle must be equilateral.

A line must be parallel to one side of the triangle.

The triangle must have a right angle.

All sides of the triangle must be equal.

6. In triangle PQR, a line ST is drawn parallel to QR, intersecting PQ at S and PR at T. If PS = 10 units, SQ = 5 units, and PT = 8 units, find the length of TR.