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Quadrilateral Exploration Worksheet

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Quadrilateral Exploration Worksheet

Read each question carefully. A quadrilateral is a flat shape with four straight sides and four corners. Show your working when asked.

Name and identify

1.Which quadrilateral has four equal sides and four right angles?

Rectangle
Square
Trapezium
Rhombus

2.Which quadrilateral has four right angles, with each pair of opposite sides equal in length?

Rhombus
Trapezium
Rectangle
Kite

3.A quadrilateral has four equal sides but no right angles. What is its name?

Square
Rectangle
Rhombus
Trapezium

4.In this worksheet, a trapezium has exactly one pair of parallel sides. Which shape name fits that description?

Square
Trapezium
Rectangle
Rhombus

5.Select every property that is true for a rectangle.

It has four sides.
It has four right angles.
All four sides must be equal.
It has two pairs of parallel sides.
It has three corners.

Compare and describe

Quadrilateral

Four right angles?

All sides equal?

Square

Rectangle

Rhombus

Trapezium

6.Draw a quadrilateral with no right angles. Label it with a suitable shape name.

7.For the swimming carnival, Harper is putting a rope around a rectangular pool area that is 8 metres long and 5 metres wide. How many metres of rope are needed to go all the way around it? Show your calculation.

8.Give one property that a square and a rhombus share, and one property that can be different between them.

Think a little further

9.A rectangle is not a square. Draw all its lines of symmetry and state how many it has.

10.Can a shape be both a square and a rectangle? Choose an answer and explain your reasoning.

11.Invent and draw a quadrilateral that is not a square, rectangle, rhombus or trapezium. Describe its right angles and parallel sides, then give it a name.