# Enlargement by a negative scale factor

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## Lesson details

### Key learning points

- In this lesson, we will learn how to enlarge a shape by a negative scale factor. It would be helpful if you could have squared paper and a ruler for this lesson.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Fill the gap: if the scale factor of an enlargement is ____________ 1, then the image is larger than the object.

1 +

equal to

less than

Q2.

Fill in the gap: if the scale factor of an enlargement is __________ 1, then the image is smaller than the object

equal to 1

greater than 1

less than 1

Q3.

In the diagram, P is the...

Just a point on the grid

Place of Enlargment

Point of Enlargement

Q4.

Fill in the gap: the distances from P to each of the points on the enlarged shape are __________ the distances from P to each of the corresponding points on the original shape.

11 times

2 times

5 times

Q5.

Fill in the gaps: shape ABCD has been __________ by scale factor ______, with _____ of enlargement (0,3).

enlarged, 2, point

enlarged, 3, centre

made bigger, 3, place

### 5 Questions

Q1.

Which of the following options best describes an enlargement of scale factor -1?

The image has a greater area than the object and has a different orientation

The image has a greater area than the object and has the same orientation

The image has the same area and has the same orientation as the object

Q2.

Which of the following options best describes an enlargement where the scale factor is less than -1?

The image has a greater area than the object and has the same orientation

The image has the same area and has the same orientation as the object

The image has the same area as the object and has a different orientation

Q3.

Which of the below images show a correct enlargement of scale factor -1, about the given point?

Option 1

Option 3

Option 4

Q4.

Which of the below images show a correct enlargement of scale factor -2, about the given point?

Option 1

Option 2

Option 4

Q5.

Which of the following statements is incorrect?

Negative enlargements change the orientation of the image

The angles in the object and image are always the same

The area of the image will change if the scale factor is not -1 or 1