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Quadrilateral Art Exploration

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Quadrilateral Art Exploration

Hudson, Zach and Kirra are designing a colourful mural for a fishing harbour. Create and investigate designs made from quadrilaterals: polygons with exactly four straight sides. Use the shape guide, then complete the challenges. Answers are included for teacher reference.

Shape guide

A square has four equal sides and four right angles. A rectangle has four right angles and opposite sides equal. A rhombus has four equal sides. A parallelogram has two pairs of parallel sides. In Australia, a trapezium has at least one pair of parallel sides.

A: Square

B: Rectangle

C: Rhombus

D: Parallelogram

E: Trapezium

F: Irregular quadrilateral

Shape detective challenges

Read each question carefully. Explain your thinking where asked.

1.Every shape in the guide is a quadrilateral. What feature do they all share?
2.Shape A in the guide is a square. Is a square also a rectangle? Explain why.
3.Which shape in the guide is described by four equal sides but does not have to have right angles?
  • A: Square
  • B: Rectangle
  • C: Rhombus
  • E: Trapezium
4.Kirra wants a quadrilateral with two pairs of parallel sides. Name two possible choices from the guide.
5.Zach claims every rectangle is a square. Is this always true? Give a reason.
TrueFalse
6.The mural has 3 square fish scales, 2 rectangular windows and 1 trapezium-shaped sail. How many quadrilaterals are there altogether?
7.A quadrilateral has angles of 90°, 90° and 110°. What is its fourth angle? The angles inside any quadrilateral total 360°.
8.Draw a harbour symbol using at least three different kinds of quadrilaterals. Label each kind you used.
Draw here. Use a ruler for straight sides, and add labels and colour.
9.Compare a square and a parallelogram. State one way they are alike and one way they can differ.

2 printable pages

  • Quadrilateral Art Exploration, page 1 of 2: Shape guide, Shape detective challenges

    Page 1

  • Quadrilateral Art Exploration, page 2 of 2: 5. Zach claims every rectangle is a square. Is this always true? Give a reason.

    Page 2

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