# 9.06 Multiple Transformations

Lesson

## Ideas

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

### Examples

#### Example 1

Choose the picture that shows a turn.

A
B
C
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.

### Examples

#### Example 2

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

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