Chapter 10.1
Combined transformations
Apply two or more transformations sequentially and describe the combined effect.
Chapters12
Transformations, congruence, similarity, vectors, and advanced geometry.
Time invested10 hrs
Approximate guided learning.
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Chapter 10.2
Describing transformations
Accurately describe rotation, reflection, translation, and enlargement.
Chapter 10.3
Congruent triangles (conditions)
Understand SSS, SAS, ASA, RHS and prove triangle congruence.
Chapter 10.4
Proving congruence
Write rigorous proofs using congruence conditions to establish shape properties.
Chapter 10.5
Similar shapes (advanced)
Identify similar figures, establish scale factors, and solve proportion problems.
Chapter 10.6
Area and volume scale factors
Connect linear scale factors to area and volume changes in similar solids.
Chapter 10.7
Introduction to vectors
Understand displacement, direction, and magnitude as vector quantities.
Chapter 10.8
Vector notation and representation
Use column vectors, position vectors, and geometric representations effectively.
Chapter 10.9
Magnitude of vectors
Calculate vector magnitude using Pythagoras' theorem and distance formula.
Chapter 10.10
Vector arithmetic (addition and subtraction)
Add and subtract vectors using triangle law, parallelogram law, and column components.
Chapter 10.11
Scalar multiplication of vectors
Scale vectors, understand parallel vectors, and solve problems using scalar multiples.
Chapter 10.12
Vectors in geometry
Apply vectors to prove geometric properties and solve coordinate geometry problems.
Next steps
Ready to move on? Head back to Section 9 for a review, or continue into Section 11 for statistics and data analysis.