8.MATH.10.B
Differentiate between transformations that preserve congruence and those that do not.
Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
transformationscongruencepreserve congruencedo not preserve congruence
Skills
- differentiate (between transformations that preserve congruence and those that do not) #dok2
- compare (transformations based on their effect on congruence) #dok2
- classify (transformations as preserving or not preserving congruence) #dok2
Learning Targets
- I can define the concept of congruence in geometric transformations. #dok1
- I can recognize types of transformations such as rotations, reflections, translations, and dilations. #dok1
- I can identify when a transformation preserves the congruence of a two-dimensional shape. #dok2
- I can classify transformations based on whether they preserve congruence. #dok2
- I can compare the properties of transformations that preserve congruence with those that do not. #dok2
- I can justify my reasoning for determining if a transformation preserves congruence using geometric principles. #dok3
Big Ideas
- Transformations can change the position, orientation, or size of a shape, but not all transformations preserve congruence.
- Understanding which transformations preserve congruence is essential for analyzing and solving problems in geometry.
Essential Questions
- What does it mean for two shapes to be congruent?
- Which types of transformations preserve congruence, and which do not?
- How can you determine if a transformation will preserve congruence?
- Why is it important to distinguish between transformations that preserve congruence and those that do not?
- How does identifying transformations that preserve congruence help solve geometric problems?