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2D Shape Properties
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2D Shape Properties
The recycling team is designing signs and checking packaging. Use angle, side, parallel-line and symmetry properties to solve each task. Assume shapes are drawn accurately unless told otherwise.
Identify and classify
1.Georgia is sorting flat recycling labels. A label has 6 straight sides and 6 vertices. What is the name of the polygon?
2.A sign has four sides, with both pairs of opposite sides parallel and four right angles. Which most specific name fits it?
- Parallelogram
- Rectangle
- Rhombus
- Trapezium
3.Keira claims, “Every square is a rectangle, but not every rectangle is a square.” Is her claim true or false? Explain using side and angle properties.
4.A recycling symbol is built from an equilateral triangle. State the size of each interior angle and the number of lines of symmetry it has.
Reason with properties
5.A label is a regular octagon. How many lines of symmetry does it have, and what is the sum of its interior angles? Show or describe how you worked it out.
6.Losa checks a quadrilateral with angles 90°, 90°, 120° and one missing angle. Calculate the missing angle and give one possible name for the shape, based only on the information provided.
7.Which statement about a rhombus is always true?
- All four angles are right angles.
- All four sides are equal in length.
- It has exactly one pair of parallel sides.
- Its diagonals are always equal in length.
8.A rectangle-shaped sign measures 12 cm by 5 cm. Find its perimeter and area. Include units.
9.Draw a quadrilateral with exactly one pair of parallel sides. Label the parallel sides and name the shape using the NZ term.
10.A regular polygon has an exterior angle of 45°. Work out its number of sides and name it.
11.For a recycling-drive logo, Georgia combines a square and an equilateral triangle. State how many lines of symmetry each shape has, then explain why a combined design may have fewer lines of symmetry than either shape alone.
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