Common Core Math - HS Geometry
Lesson Plan
Prove theorems using similarity
Goals / Objectives
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
Standards
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.
Academic Vocabulary
Not in our source material
Remediation
Enrichment
Accommodations
Not in our source material