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Learning Goal
Part of: Prove theorems involving similarity — 1 of 2 cluster items
Prove theorems using similarity
HSG.SRT.B.4
**HSG.SRT.B.4**: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
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HSG.SRT.B.4: Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
What you'll learn
- State and prove the Side-Splitter Theorem: a line parallel to one side of a triangle divides the other two sides proportionally
- State and prove the converse of the Side-Splitter Theorem
- Recognize when to apply the Side-Splitter Theorem in geometric problems
- Prove the Pythagorean Theorem using similar right triangles (altitude to hypotenuse method)
- Explain how similarity provides an alternative proof strategy for geometric theorems
- Apply these theorems to solve problems involving triangles and parallel lines
Prerequisites
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises