New
New
Year 7

Introduction to reflections

I can understand the nature of reflections and appreciate what changes and what is invariant

New
New
Year 7

Introduction to reflections

I can understand the nature of reflections and appreciate what changes and what is invariant

Lesson details

Key learning points

  1. The length of the lines do not change when reflected.
  2. The angles inside an object do not change when reflected.
  3. When an object is reflected, its image is congruent.

Common misconception

Just because the sense has changed, it doesn't mean a reflection has occurred.

If an image has a different sense to its object, there has definitely been a reflection - the line of reflection may be at an obscure angle.

Keywords

  • Reflection - A reflection of a shape is the mirror image of the shape. An object is reflected when it is flipped over a fixed line.

  • Sense - The sense of an object is the direction of the orientation of the object.

To keep consistent with all Oak objects and images, green and purple are used. Students may question whether the sense has changed if the colour of the image is different - this is not the case; focus on only the shape and any words inside the shape.
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.
When a vertex is labelled M$$^{\prime}$$, it means the __________ of M.
object
sense
centre of rotation
Correct answer: image
line of reflection
Q2.
Which point on the image is corresponding to vertex A on the object?
An image in a quiz
b
Correct answer: c
d
Q3.
A transformation is a process that may change the size, orientation, or __________ of a shape.
Correct Answer: position, location
Q4.
In which of these images is the orientation invariant when compared to its object?
An image in a quiz
image 1
image 2
Correct answer: image 3
image 4
Q5.
In which of these images has the direction of the orientation reversed when compared to its object - where the direction of ABCD on the object is clockwise?
An image in a quiz
image 1
Correct answer: image 2
image 3
image 4
Q6.
Which property may not be invariant when an object is rotated?
length of a side
size of an angle
Correct answer: position
Correct answer: orientation
sense

6 Questions

Q1.
Which of these sentences uses the word "sense" correctly?
Correct answer: The sense of a word stays the same after translation because I can still read it
The sense of a word changes after rotation because it is harder to read
Correct answer: The sense of a word changes if its letters look they've been written backwards
The sense of a word stays the same after reflection because I can figure it out
Q2.
In which of these images has the sense changed compared to the object?
An image in a quiz
Correct answer: image 1
image 2
image 3
Correct answer: image 4
image 5
Q3.
Which of these transformations change sense?
translation
rotation
Correct answer: reflection
enlargement
Q4.
Complete this sentence: "When an object is reflected, the lengths of its sides are invariant. This means the lengths of the sides remain _______ ."
Correct Answer: the same, same, exactly the same, The same, unchanged
Q5.
Which of these diagrams shows a reflection?
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q6.
Which of these images is a reflection of its object?
An image in a quiz
Correct answer: image 1
Correct answer: image 2
image 3
image 4