GEOM.MATH.7.A
Apply the definition of similarity in terms of a dilation to identify similar figures and their proportional sides and the congruent corresponding angles; and October 2015 Update Page 11 §111.C. High School.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
similaritydilationsimilar figuresproportional sidescongruent corresponding angles
Skills
- identify (similar figures using dilation) #dok2
- recognize (proportional sides and congruent corresponding angles in similar figures) #dok1
- apply (definition of similarity in terms of dilation) #dok2
- distinguish (similar and non-similar figures) #dok2
Learning Targets
- I can recognize corresponding angles and corresponding sides in figures. #dok1
- I can state the definition of similarity using dilations. #dok1
- I can identify pairs of similar figures on the coordinate plane using dilation. #dok2
- I can apply the properties of dilations to determine if two figures are similar. #dok2
- I can justify whether figures are similar by comparing proportional sides and congruent angles. #dok3
Big Ideas
- Similarity in geometry can be established using dilations that create proportional sides and congruent corresponding angles.
- Understanding similarity through dilations provides a foundation for reasoning about geometric figures and their properties.
Essential Questions
- How can you use dilation to determine if two figures are similar?
- What properties do similar figures share?
- How does a dilation affect the angles and sides of a geometric figure?
- What methods can you use to justify that two figures are similar?
- Why is the concept of similarity important in geometry?