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Shape Properties and Classification
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Shape Properties and Classification
Mere and Harrison are planning signs and structures for a fishing harbour. Use shape properties—not colour, size or position—to classify each shape. Give reasons where asked.
Identify and classify
Look closely at the defining properties in each question.
1.A harbour sign has four sides, four right angles, and opposite sides equal and parallel. Name the most specific quadrilateral it must be. Explain why it also belongs to a broader quadrilateral group.
2.A triangular sail has three equal sides. What can you conclude about its angles, and what type of triangle is it?
3.A turning sign shows an angle of 135°. Classify the angle as acute, right, obtuse or reflex.
- Acute
- Right
- Obtuse
- Reflex
4.True or false: Every square is a rectangle, but not every rectangle is a square. Give one property that makes a square a special rectangle.
TrueFalse
5.Keira describes a quadrilateral with exactly one pair of parallel sides. In the usual NZ school classification, what is this shape called?
Properties in three dimensions
Use faces, edges and vertices to reason about harbour equipment.
6.A closed cube-shaped crate has how many faces, edges and vertices?
7.Match each 3D shape to the most fitting harbour object.
- Cylinder
- Sphere
- Cone
- Rectangular prism
- Ball-shaped fender
- Storage crate
- Marker buoy with a pointed top
- Buoy
8.A solid has two identical, parallel pentagonal faces and five rectangular side faces. Identify the solid and state its number of vertices.
Make and justify
Use accurate geometric language to explain your decisions.
9.Draw a quadrilateral with exactly one line of symmetry that is not a square. Name it and mark its line of symmetry.
10.Fill in the blanks: A polygon with seven sides is a . A polygon with all sides and all interior angles equal is called a polygon.
11.Explain why the description “four equal sides” is not enough on its own to prove that a quadrilateral is a square.
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