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Proportional relationships in triangles — Homework
Identify which theorem applies (Triangle Proportionality or Angle Bisector), set up the proportion, and solve.
- 1.In triangle ABC, segment DE is parallel to BC, with D on AB and E on AC. AD=3, DB=9, AE=4. Find EC.
- 2.In triangle JKL, the bisector of angle J meets KL at point M. JK=5, JL=8, KM=10. Find ML.
- 3.In triangle RST, segment UV is parallel to ST, with U on RS and V on RT. RU=6, US=4, RV=9. Find VT.
- 4.In triangle ABC, a cevian from A divides side BC into segments of 6 and 9. Is this cevian necessarily the angle bisector of angle A? What extra information would confirm it?
- 5.Explain why the Triangle Proportionality Theorem is considered a special case of triangle similarity rather than a separate idea.
🌲 Homeschool of the FutureTenth Grade · Math · week 22 homework