Mathematics·Geometry·conceptual
Properties of triangles and quadrilaterals
Derive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and relationships between side lengths
Suggested ages 11–13
Evidence of understanding
- List and verify properties of a parallelogram (opposite sides parallel/equal, opposite angles equal, diagonals bisect each other)
- Explain why a square is a special case of both a rectangle and a rhombus
- Derive the relationship between the radius, diameter, and circumference of a circle
Assessment prompt
If you ask Properties of triangles and quadrilaterals why the diagonals of a rectangle are always equal in length, can they explain it using the properties of the shape — rather than just measuring to check?
Standards alignment
7.G.2US · ccss-math
Draw geometric shapes with given conditions
Common Core State Standards for Mathematics · 7
KS3.Maths.Geo.7GB · uk-nc-2013
Properties of Plane Figures
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3