Exploring reflections and translations (Part 1)

Exploring reflections and translations (Part 1)

Lesson details

Key learning points

  1. In this lesson, we will investigate different shape transformations, and determine whether a given shape has been reflected or translated.

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5 Questions

Q1.
Which of the below mean the same as a line of reflection?
Correct answer: Mirror line
Straight line
Unequal line
Wiggly line
Q2.
If the distance between point A and its reflected point (A') is 12 squares then which of the statements below is true?
The distance between the mirror line and A is 12 squares
The distance between the mirror line and A is 24 squares
Correct answer: The distance between the mirror line and A' is 6 squares
The distance between the mirror line and A' is also 12 squares
Q3.
If distance between point B and a mirror line is 9 squares, then which of the following statements below is true?
Correct answer: The distance between B and B' is 18 squares
The distance between B and B' is 4.5 squares
The distance between B and B' is also 9 squares
The distance between the mirror line and B' is 4.5 squares
Q4.
The coordinates (-4,-4) and (-4,-2) are reflected, after reflection (-4,-4) becomes (3,3) and (-4,-2) becomes (1,3), which of the following statements is true?
Correct answer: The line of reflection is diagonal
The line of reflection is vertical
The x axis is the line of reflection
The y axis is the line of reflection
Q5.
A point with coordinates (1,-4) and (1,-3) are reflected to become (-3,-4) and (-3,-3) what do we know about the mirror line?
It is a diagonal line
It is a horizontal line
Correct answer: It is a vertical line
We do not have enough information

5 Questions

Q1.
How many types of transformations are there?
2
3
Correct answer: 4
6
Q2.
Which statement below is correct?
Correct answer: It is easier to tell if a shape has been translated or reflected if the vertices are marked in a colour or labelled
Reflections and Translations always look the same
Reflections and Translations never look the same
You can easily tell if congruent shapes have been reflected or translated
Q3.
Which statement below is correct?
It is only hard to tell if a shape has been translated or reflected if the shape is a quadrilateral
It is only hard to tell if a shape has been translated or reflected if the shape is a rectangle
It is only hard to tell if a shape has been translated or reflected if the shape is regular
Correct answer: None of the above
Q4.
Which statement below is correct?
If a right angled triangle has been reflected along the x axis then it is not obvious whether it has been reflected and not translated
If a right angled triangle has been reflected along the y axis then it is not obvious whether it has been reflected or translated
Correct answer: If an equilateral triangle has been reflected along the y axis then it is not clear whether it has been reflected or translated
If an equilateral triangle has been reflected along the y axis then it is obvious that it has been reflected and not translated
Q5.
If the vertices of triangle A are (-5,3), (-5,1) and (-2,1) and the vertices of triangle B are (-5,-1), (-5,-3) and (-2,-3), which of the below best describes the transformation from A to B?
Correct answer: It could have been reflected or translated
Reflected onto the x axis
Reflected onto the y axis
Translated down by 4 squares

Lesson appears in

UnitMaths / Transformations