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H Transformations > Transformations > Flashcards

Transformations Flashcards

1
Q

What does the bottom number of a vector represent?

A

How far the object is moved up or down

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2
Q

How do I recognise
a rotation?

A

The object has been spun around

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3
Q

Describe the line
x = -7

A

Vertical line,
going through -7 on the x axis

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4
Q

What is required to describe
a translation?

A

Translation
A vector

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5
Q

Why don’t you need a direction for a 180 degree rotation?

A

The image lands in the same place either clockwise or anti-clockwise

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6
Q

Describe the line
y = 5

A

Horizontal line,
going through 5 on the y axis

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7
Q

How far round is 270 degrees?

A

3/4 turn

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8
Q

Describe the line
x = 4

A

Vertical line,
going through 4 on the x axis

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9
Q

Where is the origin?

A

(0, 0)
At the centre of the grid

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10
Q

Describe the line
y = x

A

Diagonal line.
Positive gradient (upward),
going through the origin

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11
Q

What is an invariant point?

A

A coordinate that has not changed after the transformation has happened

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12
Q

What is the equation of a diagonal line,
going through the origin,
with a positive gradient of 1?

A

y = x

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13
Q

What does the top number of a vector represent?

A

How far the object is moved left or right

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14
Q

What type of scale factor rotates an object as well as changing its size?

A

A negative scale factor

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15
Q

Describe the line
y = -x

A

Diagonal line.
Negative gradient (downward),
going through the origin

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16
Q

How do you reflect an object?

A

Draw the mirror line.
Count the number of squares directly to the mirror line.
(perpendicular)
Count the same number of squares on the other side of the mirror line.
Repeat for each corner

17
Q

How do you enlarge an object?

A

From the centre count the squares to the first corner.
Multiply this by the scale factor.
From the centre count the new amount of squares to the corner of the image.
Repeat for each corner

18
Q

How do I recognise
a reflection?

A

The object has been flipped over

19
Q

How do you find the centre of enlargement?

A

Draw ‘ray’ lines from corresponding corners of the object and the image.
Where they cross is the centre of enlargement

20
Q

What is the equation of the line that is:
Parallel to the y axis and going through 1 on the x axis?

A

x = 1

21
Q

Have far round is 90 degrees?

A

1/4 turn

22
Q

How do you translate an object?

A

Put a dot on a corner of the object.
Move the dot left/right by the number on the top of the vector.
Move the dot up/down by the number on the bottom of the vector.
Draw the image at this point

23
Q

What type of scale factor makes an object go smaller?

A

A fractional scale factor

24
Q

What is required to describe
an enlargement?

A

Enlargement
Scale factor
Centre of enlargement

25
Q

What is required to describe
a reflection?

A

Reflection
The mirror line

26
Q

Describe the line
y = 3

A

Horizontal line,
going through 3 on the y axis

27
Q

What is the equation of a diagonal line,
going through the origin,
with a negative gradient of 1?

A

y = -x

28
Q

What is the equation of the line that is:
Parallel to the x axis and going through 1 on the y axis?

A

y = 1

29
Q

What does a fractional scale factor do to an object?

A

Makes it smaller

30
Q

How do you find the centre of rotation?

A

Draw the object on some tracing paper.
Guess where the centre is and with your pencil on this point spin the paper.
If it lands on the image you have found the centre.
If not try a different point

31
Q

How do I recognise
an enlargement?

A

The object has changed size,
either smaller or bigger

32
Q

How do you rotate an object?

A

Mark the centre.
Draw the object on the tracing paper.
Put your pencil on the centre and spin the paper in the direction for the correct angle of turn.
Draw the image at this place

33
Q

How do I recognise
a translation?

A

The object has slide along,
left/right, up/down

34
Q

What does a negative scale factor do to an object?

A

Rotates the object
and
changes it size

35
Q

Describe the line
x = 6

A

Vertical line,
going through 6 on the x axis

36
Q

Describe the line
y = -2

A

Horizontal line,
going through -2 on the y axis

37
Q

What is required to describe
a rotation?

A

Rotation
Angle of turn and direction
Centre of rotation

H Transformations (1 decks)

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