Topics
11. Geometry
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AustraliaNSW
Stage 3

11.09 Transformation of shapes

Lesson
Practice
Lesson

Are you ready?

Let try this problem to review  transformations of shapes  .

Examples

Example 1

Choose the picture that shows a translation.

A
Two identical socks. One is facing to the left and the other is facing to the right.
B
Two identical socks where both are facing to the left.
C
Two identical socks, where one is facing to the left and the other is rotated.
Worked Solution
Create a strategy

Choose the option that shows two objects facing the same way.

Apply the idea

Option B is the correct answer because the sock has been slid from from the other sock, but has not flipped or turned.

Idea summary

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

Multiple transformations

This video starts by recapping translations, reflections, and rotations. It then explores how to identify a shape that has undergone multiple transformations.

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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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