G-SRT - Domain
Similarity, Right Triangles, & Trigonometry
High School Geometry · Common Core State Standards · Common Core 2010
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
similaritytransformationsdilationscenterscale factorfiguresanglessidescriteriatrianglesPythagorean Theoremtrigonometric ratiosright trianglessinecosinecomplementary anglesauxiliary lineLaws of SinesLaws of Cosines
Skills
- Define (transformation terms) #dok1
- Identify (geometric properties in triangles and circles) #dok1
- Compare (similar and congruent figures) #dok2
- Classify (geometric transformations) #dok2
- Prove (properties of similarity and congruence in triangles) #dok3
- Explain (trigonometric relationships in right triangles) #dok3
- Apply (geometric concepts to solve real-world problems involving similarity and congruence) #dok4
Learning Targets
- I can define geometric transformations and similarity. #dok1
- I can identify angles and sides in similar figures. #dok1
- I can compare properties of similar and congruent figures. #dok2
- I can classify different types of geometric transformations. #dok2
- I can prove theorems involving similarity in triangles. #dok3
- I can explain the relationship between sine and cosine in right triangles. #dok3
- I can apply the Laws of Sines and Cosines to find unknown measurements in geometric problems. #dok4
Big Ideas
- The concept of similarity is foundational to understanding geometric transformations.
- Trigonometry extends the understanding of geometric relationships in triangles.
Essential Questions
- What are the conditions for two figures to be similar?
- How do dilations affect the properties of a figure?
- In what ways do trigonometric ratios help in solving right triangles?
- Why do the Laws of Sines and Cosines work for all types of triangles?
- How can we apply geometric concepts to real-world scenarios involving similar and congruent figures?