Triangle Proportionality Theorem Worksheet
Explore and apply the Triangle Proportionality Theorem to solve for unknown lengths in triangles.
Includes
Standards
Topics
Triangle Proportionality Theorem
Name:
Date:
Score:
Read each question carefully and apply the Triangle Proportionality Theorem to find the unknown values. Show your work for full credit.
1. State the Triangle Proportionality Theorem in your own words.
2. In a triangle, if a line parallel to one side intersects the other two sides, then it divides the two sides .
3. In triangle ABC, line DE is parallel to BC. If AD = 6, DB = 3, and AE = 8, find EC.
4. In the diagram, if PQ is parallel to BC, which proportion is correct?
AP/PB = AQ/QC
AP/AB = AQ/AC
PB/AB = QC/AC
All of the above
5. Given triangle XYZ with line MN parallel to YZ. If XM = 4, MY = x - 2, XN = 6, and NZ = x + 1, find the value of x.