Topics
9. Location and transformation
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AustraliaNSW
Stage 3

9.06 Multiple Transformations

Lesson
Practice
Lesson

Are you ready?

Let's review  transformations of shapes  to help us in this lesson.

Examples

Example 1

Choose the picture that shows a turn.

A
Two identical buckets, one is a mirror image of the other.
B
Two identical combs. One is below and to the right of the other.
C
Two identical kangaroos, one is turned to the right and next to the other.
Worked Solution
Create a strategy

Choose the option that shows two objects where one object is turned.

Apply the idea

Option C is the correct answer because the kanggaroo on the right has been turned.

Idea summary

Translations, reflections and rotations change the position or orientation of the shape, but the shape itself stays the same.

Multiple transformations

Let's look at what happens when shapes undergo a combination of translations, reflections, or rotations.

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Examples

Example 2

What two transformations would be needed to get from Flag A to Flag B?

Flags A and B are facing each other on a grid. Flag B on the right is higher than flag A.
A
Rotation and translation
B
Two translations
C
Two reflections
D
Reflection and translation
Worked Solution
Create a strategy

Consider what changes occurred to Flag A to get to Flag B.

Apply the idea

Flag A and Flag B are mirror-images of each other and Flag B has been moved up and to the right from Flag A, but it has not turned.

This means that reflection and translation are the transformations needed to get from Flag A to Flag B. So, the correct answer is Option D.

Idea summary

A shape or object many be transformed more than once. Think about whether the position or orientation of the shape has changed to help work out whether it has been translated, reflected, rotated, or enlarged.

Outcomes

MA3-15MG

manipulates, classifies and draws two-dimensional shapes, including equilateral, isosceles and scalene triangles, and describes their properties

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