Topics
13. Location and transformation
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Stage 3

13.04 Transformation of shapes

Lesson
Practice
Lesson

Are you ready?

Do you remember what a  measure of turn  is?

Exploration

Use this applet to help you explore different measures of turns.

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Based on the circle above, a quarter turn indicates a 90\degree degrees, a half turn indicates a 180\degree degrees, and a full turn of circle indicates a 360\degree degrees.

Examples

Example 1

A right angle is a:

A
Quarter turn
B
Half turn
Worked Solution
Create a strategy

Remember that 4 right angles make up a circle.

A circle with 4 right angles at the center. Ask your teacher for more information.
Apply the idea

Since 4 right angles make up a circle, and a circle makes up a full turn, a right angle is \dfrac{1}{4} of a circle or a quarter turn.

The answer is A: Quarter turn.

Idea summary

A right angle is a quarter turn around a circle.

Slides

Let's look at slides first, where we change the position of a shape. Slides are also called translations.

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Examples

Example 2

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 clockwise.
Worked Solution
Create a strategy

Choose the option where both objects are facing the same way.

Apply the idea

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

Idea summary

A slide or translation is when the object moved along a straight line.

Flips

Now let's look at flips in this video. Flips are also called reflections.

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Examples

Example 3

Choose the picture that shows a reflection.

A
Two identical buckets on the same direction.
B
Two identical combs where one is facing to the right and other one is rotated clockwise.
C
Two identical kangaroos, one is a mirror image of the other.
Worked Solution
Create a strategy

Choose the option that shows two objects that are mirror-images of each other.

Apply the idea

Option C is the correct answer because the two kangaroos are mirror-images of each other.

Idea summary

A flip or reflection is when the object is flipped or reflected across a line, and the result is a mirror image.

Turns

Now let's learn about turns, which change the orientation of a shape or object. Turns are also called rotations.

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Examples

Example 4

Choose the picture that shows a rotation.

A
Two identical hammers, one is a mirror image of the other.
B
Two identical hammers. One is below and to the right of the other.
C
Two identical hammers, where one hammer on the right has been turned.
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 hammer 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.

Outcomes

MA3-15MG

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

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