Common Core · High school
HSG-SRT.B.4
High school — Prove theorems about triangles, including that a line parallel to one side divides the other two proportionally, and prove the Pythagorean theorem using triangle similarity.
The skill that covers it
What a student should be able to do
- Identify similar triangles from angle relationships.
- Write and solve a proportion between corresponding sides, including the side-splitter, midsegment and angle-bisector theorems.
- Use a scale factor to find perimeters and areas.
- Solve indirect measurement problems such as shadow heights.