Dilations and Similarity
Students explore dilations and their properties to establish the definition of similarity. They will determine if two figures are similar using transformations.
About This Topic
Students explore dilations and their properties to establish the definition of similarity. They will determine if two figures are similar using transformations.
Key Questions
- How does a dilation affect the size and shape of a figure?
- What is the relationship between scale factor and similarity?
- How can transformations prove two figures are similar?
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Geometry
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Similarity, Proof, and Trigonometry
Similarity Theorems and Proofs
Students prove theorems involving similarity, including the AA criterion for triangles. They apply these theorems to solve real-world problems.
8 methodologies
Right Triangle Trigonometry
Introduction to trigonometric ratios (sine, cosine, tangent) derived from similar right triangles. Students use these ratios to find missing side lengths and angles.
8 methodologies
Applications of Trigonometry
Students apply trigonometry to solve applied problems involving angles of elevation and depression. They model real-world scenarios using right triangles.
8 methodologies