Mathematics·Geometry·procedural
Coordinate Transformations
Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original
Suggested ages 11–14
Evidence of understanding
- Reflect a shape in a given mirror line (including diagonal lines) and state the coordinates of the image
- Rotate a shape about a given centre by 90° or 180° and describe the result
- Translate a shape by a given vector and verify that lengths and angles are preserved
Assessment prompt
If Coordinate Transformations is asked to rotate a triangle 90° clockwise around a fixed point, can they work out where each corner ends up — and confirm the triangle is still the same size and shape?
Standards alignment
8.G.1aUS · ccss-math
Properties of transformations: Lines
Common Core State Standards for Mathematics · 8
8.G.1bUS · ccss-math
Properties of transformations: Angles
Common Core State Standards for Mathematics · 8
8.G.1cUS · ccss-math
Properties of transformations: Parallel lines
Common Core State Standards for Mathematics · 8
8.G.3US · ccss-math
Coordinates and transformations
Common Core State Standards for Mathematics · 8
KS3.Maths.Geo.8GB · uk-nc-2013
Transformations
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3