New
New
Year 10
Foundation

Checking and securing understanding of enlargement with positive fractional scale factors

I can describe an enlargement and perform a given enlargement on an object.

New
New
Year 10
Foundation

Checking and securing understanding of enlargement with positive fractional scale factors

I can describe an enlargement and perform a given enlargement on an object.

Lesson details

Key learning points

  1. Each length in the shape is multiplied by the scale factor.
  2. Each vertex in the object is a given distance from the centre of enlargement.
  3. This distance is also multiplied by the scale factor to give the distance of the image's vertex.
  4. A positive fractional scale factor produces an image that is smaller than the original.
  5. To enlarge, you need the centre of enlargement and a scale factor.

Common misconception

Pupils may measure/count from the object instead of the centre of enlargement.

Encourage pupils to check their answers by using ray lines.

Keywords

  • Transformation - A transformation is a process that may change the size, orientation or position of a shape.

  • Enlargement - Enlargement is a transformation that causes a change of size.

  • Scale factor - A scale factor is the multiplier between similar shapes that describes how large one shape is compared to the other.

  • Centre of enlargement - The centre of enlargement is the point from which a shape is enlarged.

Discuss what value of a scale factor will make the image smaller than the object and which would make the image larger than the object.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
__________ will produce an image that is similar to the object.
Correct answer: An enlargement
A reflection
A rotation
A transformation
A translaton
Q2.
Shape A is enlarged to give shape B. The scale factor of this enlargement is .
An image in a quiz
Correct Answer: 4, four
Q3.
These two shapes are an enlargement of each other. The missing length is cm.
An image in a quiz
Correct Answer: 6, six, 6 cm, 6cm
Q4.
Shape A is enlarged to give shape B. The scale factor of this enlargement is .
An image in a quiz
Correct Answer: 3, three
Q5.
Shape A is enlarged to give shape B. What is the centre of the enlargement?
An image in a quiz
(0, 0)
(3, 3)
(4, 0)
(6, 3)
Correct answer: (6, 4)
Q6.
Shape A is enlarged by scale factor 2, centre (-4, 4) to give shape B. Select the points that should be joined to give shape B.
An image in a quiz
Correct answer: (0, 0)
(1, 2)
Correct answer: (2, 6)
Correct answer: (6, 2)
(4, 4)

6 Questions

Q1.
Similar shapes are of each other.
Correct answer: enlargements
reflections
rotations
transformations
translations
Q2.
Shape B is enlarged to give shape A. What is the scale factor of this enlargement?
An image in a quiz
$$4$$
Correct answer: $$\frac{1}{4}$$
$$\frac{1}{3}$$
$$\frac{1}{12}$$
Q3.
Which diagram shows a correct enlargement from the marked centre of enlargement?
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q4.
Shape A is enlarged to give shape B. What is the scale factor of this enlargement?
An image in a quiz
$$2$$
$$\frac{2}{3}$$
Correct answer: $$\frac{3}{2}$$
$$3$$
Q5.
Shape A is enlarged to give shape B. What is the centre of the enlargement?
An image in a quiz
(3, 0)
(4, 0)
(-1, 4)
Correct answer: (-3, 4)
(-3, 3)
Q6.
Describe the transformation that maps shape A onto shape B.
An image in a quiz
An enlargement scale factor $$\frac{1}{2}$$, centre (-1, 2)
An enlargement scale factor $$2$$, centre (-1, 2)
An enlargement scale factor $$2$$, centre (-2, -1)
Correct answer: An enlargement scale factor $$\frac{1}{2}$$, centre (-2, -1)
An enlargement scale factor $$\frac{1}{2}$$