Mathematics · Grade 10 · Geometry
Coordinate Transformations and Proof
Map corresponding vertices with a rigid motion. Calculate and compare side lengths. Build a congruence argument and distinguish a dilation.
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Learning goals
- Map corresponding vertices with a rigid motion.
- Calculate and compare side lengths.
- Build a congruence argument and distinguish a dilation.
Before you begin
Use coordinate differences, the distance formula and congruence criteria.
Age and grade do not measure readiness. Adjust reading or adult support to preserve the intended learning goal.
Follow the sequence
Complete practice
Coordinate Transformations and Proof
Practice · Independent · 45 min
Map corresponding vertices with a rigid motion. Calculate and compare side lengths. Build a congruence argument and distinguish a dilation. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.
1. Explore
Coordinate Transformations and Proof: Explore and Explain
Explore · Independent · 12 min
Map corresponding vertices with a rigid motion. Calculate and compare side lengths. Build a congruence argument and distinguish a dilation. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.
2. Practice
Coordinate Transformations and Proof: Practice Independently
Practice · Independent · 20 min
Map corresponding vertices with a rigid motion. Calculate and compare side lengths. Build a congruence argument and distinguish a dilation. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.
3. Apply
Coordinate Transformations and Proof: Apply and Create
Apply · Independent · 25 min
Map corresponding vertices with a rigid motion. Calculate and compare side lengths. Build a congruence argument and distinguish a dilation. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.
Teaching and response guide
- Begin with: Write the translation vector taking A to D.
- Connect the response to: Find AB and DE.
- Ask students to apply the idea: Prove triangle ABC is congruent to triangle DEF using a rigid motion or SSS. State the correspondence.
Watch for: A drawing suggests a relationship but does not establish the required equalities or correspondence.
Check the answer criteria for each task. A supported explanation may have more than one acceptable response. These activities offer evidence to discuss; completing a sheet alone does not establish mastery.
Possible next goals
Choose the next unit when its prerequisites fit your learner.