Enlargement by a negative scale factor

Enlargement by a negative scale factor

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Lesson details

Key learning points

  1. 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.

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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
Correct answer: greater than
less than
Q2.
Fill in the gap: if the scale factor of an enlargement is __________ 1, then the image is smaller than the object
Correct answer: between 0 and 1
equal to 1
greater than 1
less than 1
Q3.
In the diagram, P is the...
An image in a quiz
Correct answer: Centre of enlargement
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
Correct answer: 3 times
5 times
Q5.
Fill in the gaps: shape ABCD has been __________ by scale factor ______, with _____ of enlargement (0,3).
An image in a quiz
Correct answer: enlarged, 2, centre
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
Correct answer: The image has the same area as the object and has a different orientation
Q2.
Which of the following options best describes an enlargement where the scale factor is less than -1?
Correct answer: 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
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?
An image in a quiz
Option 1
Correct answer: Option 2
Option 3
Option 4
Q4.
Which of the below images show a correct enlargement of scale factor -2, about the given point?
An image in a quiz
Option 1
Option 2
Correct answer: Option 3
Option 4
Q5.
Which of the following statements is incorrect?
Correct answer: An enlargement only ever makes a shape bigger
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

Lesson appears in

UnitMaths / Similarity and enlargement