Define the term translation .

A translation is when a shape is moved . Its position changes but its size, shape and orientation stay the same.

How do you translate a shape?

To translate a shape, move each corner according to the vector. Join the new corners together to make the translated shape.

True or False? When you translate a shape, it should not overlap with the original shape.

False. When you translate a shape, it can overlap with the original shape.

To get full marks, what information do you need to give when describing a translation in an exam question?

When describing a translation , you need to: State that the transformation is a translation . State the vector .

True or False? In a translation there are no invariant points .

True. In a translation there are no invariant points . All of the points on a shape move when it is translated.

Define the term reflection .

A reflection is when a shape is flipped about a line of symmetry. Its orientation changes and its position could change but its size stays the same.

Which points do not change when reflected?

Any points that lie on the line of reflection do not change when reflected.

How do you reflect a shape about a line of reflection?

To reflect a shape, reflect each corner separately. Count or measure the perpendicular distance from a corner to the line of reflection. Repeat this distance on the other side of the line. Label the new corner. Join all the corners up to form the reflected shape.

To get full marks, what information do you need to give when describing a reflection in an exam question?

When describing a reflection , you need to: State that the transformation is a reflection . State the equation of the line of reflection .

True or False? To reverse a reflection , you can reflect it about the same line of reflection again. E.g. if an object has been reflected along the x -axis, then reflecting it along the x -axis again will bring it back to its initial position.

True. To reverse a reflection , you can reflect it about the same line of reflection again.

Which points are invariant with a reflection?

In a reflection , any points that lie on the mirror line (line of reflection) are invariant points, as they do not move when reflected.

Define the term rotation .

A rotation is when a shape is turned about a point. Its position could change but its size stays the same.

True or False? A rotation 90 ° clockwise is the same as a rotation 270 ° anticlockwise .

True. A rotation 90 ° clockwise is the same as a rotation 270 ° anticlockwise .

True or False? You must state the direction of the rotation when the angle is 180° .

False. You do not need to state the direction of the rotation when the angle is 180° . 180° clockwise is the same as 180° anticlockwise.

To get full marks, what information do you need to give when describing a rotation in an exam question?

When describing a rotation , you need to: State that the transformation is a rotation . State the angle and direction of the rotation. State the position of the centre of the rotation .

How do you rotate a shape about a centre of rotation ?

To rotate a shape about a centre of rotation : Trace over the original shape. Put your pencil on the centre of rotation. Rotate the tracing paper by the given angle and in the given direction. Draw the rotated shape as indicated by the tracing paper.

True or False? The centre of rotation can be inside the original shape.

True. The centre of rotation can be inside the original shape.

True or False? In a rotation there are no invariant points .

False. In some cases there are no invariant points in a rotation , however, it is not always true. If the centre of rotation is a point on the shape, then that point is invariant . If a shape is rotated by 360º then all points on the shape are invariant .

GCSEMathsEdexcelFoundationFlashcardsGeometry & MeasuresTransformations

Transformations (Edexcel GCSE Maths: Foundation): Flashcards

Exam code: 1MA1

1/28

0Still learning

Know0

FrontTranslations
Define the term translation.

Was this flashcard helpful?

Cards in this collection (28)

Define the term translation.
A translation is when a shape is moved.
Its position changes but its size, shape and orientation stay the same.
What do you use to describe how a shape is moved horizontally and vertically by a translation?
You use a vector in the form $(\begin{matrix} x \\ y \end{matrix})$ to describe a translation.
Within the vector, $x$ describes the horizontal movement and $y$ describes the vertical movement.
True or False?
The vector $(\begin{matrix} 2 \\ 3 \end{matrix})$ means 3 units to the right and 2 units up.
False.
The vector $(\begin{matrix} 2 \\ 3 \end{matrix})$ does not mean 3 units to the right and 2 units up.
The vector $(\begin{matrix} 2 \\ 3 \end{matrix})$ means 2 units to the right and 3 units up.
The top number is horizontal and the bottom number is vertical.
True or False?
The vector $(\begin{matrix} - 2 \\ 0 \end{matrix})$ means 2 units to the left.
True.
The vector $(\begin{matrix} - 2 \\ 0 \end{matrix})$ means 2 units to the left.
True or False?
The vector $(\begin{matrix} 0 \\ - 3 \end{matrix})$ means 3 units up.
False.
The vector $(\begin{matrix} 0 \\ - 3 \end{matrix})$ does not mean 3 units up.
The vector $(\begin{matrix} 0 \\ - 3 \end{matrix})$ means 3 units down.
If the bottom number is negative it goes down.
How do you translate a shape?
To translate a shape, move each corner according to the vector.
Join the new corners together to make the translated shape.
True or False?
When you translate a shape, it should not overlap with the original shape.
False.
When you translate a shape, it can overlap with the original shape.
To get full marks, what information do you need to give when describing a translation in an exam question?
When describing a translation, you need to:
- State that the transformation is a translation.
- State the vector.
How do you reverse a translation?
E.g. reverse a translation of $(\begin{matrix} 6 \\ - 2 \end{matrix})$ .
A translation can be reversed by changing the sign (but not the number) of each value in the translation vector, and moving the shape by this new vector.
E.g. to reverse a translation of $(\begin{matrix} 6 \\ - 2 \end{matrix})$ , move the translated shape by the vector $(\begin{matrix} - 6 \\ 2 \end{matrix})$ .
What type of transformation is seen in the the diagram below?
The transformation in the diagram is a translation.
The shape has moved position but has not changed in size or orientation.
Shape A has been translated to shape B by the vector $(\begin{matrix} 2 \\ - 3 \end{matrix})$ .
True or False?
In a translation there are no invariant points.
True.
In a translation there are no invariant points.
All of the points on a shape move when it is translated.
Define the term reflection.
A reflection is when a shape is flipped about a line of symmetry.
Its orientation changes and its position could change but its size stays the same.
True or False?
A reflection in the line $y = 0$ is always the same as a reflection in the y-axis.
False.
A reflection in the line $y = 0$ is always the same as a reflection in the x-axis.
True or False?
The line of reflection will always be horizontal or vertical.
False.
The line of reflection will not always be horizontal or vertical. It could be diagonal such as $y = x$ or $y = - x$ .
Which points do not change when reflected?
Any points that lie on the line of reflection do not change when reflected.
How do you reflect a shape about a line of reflection?
To reflect a shape, reflect each corner separately.
- Count or measure the perpendicular distance from a corner to the line of reflection.
- Repeat this distance on the other side of the line.
- Label the new corner.
- Join all the corners up to form the reflected shape.
To get full marks, what information do you need to give when describing a reflection in an exam question?
When describing a reflection, you need to:
- State that the transformation is a reflection.
- State the equation of the line of reflection.
True or False?
To reverse a reflection, you can reflect it about the same line of reflection again.
E.g. if an object has been reflected along the x-axis, then reflecting it along the x-axis again will bring it back to its initial position.
True.
To reverse a reflection, you can reflect it about the same line of reflection again.
What type of transformation is seen in the diagram below.
The transformation in the diagram is a reflection.
The two shapes are the same size but are in different positions and orientations.
Shape A has been reflected to shape B in the line $x = - 1$ .
Which points are invariant with a reflection?
In a reflection, any points that lie on the mirror line (line of reflection) are invariant points, as they do not move when reflected.
Define the term rotation.
A rotation is when a shape is turned about a point.
Its position could change but its size stays the same.
True or False?
A rotation 90^°clockwise is the same as a rotation 270^° anticlockwise.
True.
A rotation 90^°clockwise is the same as a rotation 270^° anticlockwise.
True or False?
You must state the direction of the rotation when the angle is 180°.
False.
You do not need to state the direction of the rotation when the angle is 180°. 180° clockwise is the same as 180° anticlockwise.
To get full marks, what information do you need to give when describing a rotation in an exam question?
When describing a rotation, you need to:
- State that the transformation is a rotation.
- State the angle and direction of the rotation.
- State the position of the centre of the rotation.
How do you rotate a shape about a centre of rotation?
To rotate a shape about a centre of rotation:
- Trace over the original shape.
- Put your pencil on the centre of rotation.
- Rotate the tracing paper by the given angle and in the given direction.
- Draw the rotated shape as indicated by the tracing paper.
True or False?
The centre of rotation can be inside the original shape.
True.
The centre of rotation can be inside the original shape.
What type of transformation is shown in the diagram below?
The transformation in the diagram is a rotation.
The shapes are identical but the positions and orientations are different.
Shape A has been rotated by 90º in a clockwise direction about the centre (-4, 0) onto shape B.
True or False?
In a rotation there are no invariant points.
False.
In some cases there are no invariant points in a rotation, however, it is not always true.
If the centre of rotation is a point on the shape, then that point is invariant.
If a shape is rotated by 360º then all points on the shape are invariant.

Sign up to unlock flashcards

By signing up you agree to our Terms and Privacy Policy

Previous:VectorsNext:Introduction to Probability