Exploring reflections and translations (Part 2)

Maths

Transformations

Reflection is the only type of translation

Reflections and translations are types of transformations

Transformations and reflections are types of translations

Transformations are a type of translation

Which of the statements below is correct?

When we reflect a square across the y axis we can also translate it left/right to the same position

When we reflect a square across the y-axis we can also translate it up/down

When we reflect a square across the y-axis we cannot also translate the original shape so it is the same as the translated square

None of the above, it depends on the actual shape

The shape would be translated 1 square away from the original

The shape would be translated to the left

The shape would go back to it's original position

What would happen if we reflected a shape onto the x-axis and then onto the y-axis and then back onto the x-axis and then onto the y-axis?

When we reflect a square onto the x-axis the size of the shape changes

When we reflect a square onto the x-axis we can also translate it left/right

When we reflect a square onto the x-axis we can also translate it up/down

When we reflect a square onto the x-axis, the reflected shape must pass through the origin

If we reflect a rectangle across the x-axis then we can also say that this shape has been translated either up or down

If we reflect a rectangle across the y-axis we can also say that this shape has been translated either to the left or to the right

If we reflect a right-angled triangle across the y-axis we can also say that this shape has been translated either to the left or right

None of the above. It would depend on the orientation of the right angled triangle

Which of the statements below is NOT correct?

How many types of transformations are there?

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

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

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

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

It could have been reflected or translated

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?

Exploring reflections and translations (Part 2)

Lesson outcome