Mixed transformations: describe

The Maths Habit

1Name the dashed line.01234561234xyx = 4
2Write the coordinates of the cross.01234561234xy(3, 2)
3P slides to Q. Write the column vector.01234561234xyPQ42

Tell a friend how shape A moved to B.
You cannot point. What must you say?

AB

Say the move: it slid. Then say how far: 5 right and 2 up.

0123456781234xyAB
Transformation
A move of a shape: a flip, a turn or a slide.
0123456781234xy
Reflection
A flip of a shape over a mirror line.
0123456781234xy
Rotation
A turn of a shape about a point.
0123456781234xy
Translation
A slide. The shape does not turn or flip.

A moves to B. Flip, turn or slide?

AABFlip: reflection
BABSlide: translation
CABTurn: rotation
DABTurn: rotation

Describe fully the transformation.

0123456789123456xyAB
1Decide2Fill in
Reflectionin the linex=5
Rotation180°90° clockwiseabout(,)
Translationby the vector

Describe fully the transformation.

0123456789123456xyAB
1Decide2Fill in
Reflectionin the line=
Rotation180°90° clockwiseabout(,)
Translationby the vector52

Describe fully the transformation.

0123456789123456xyAB
1Decide2Fill in
Reflectionin the linex=5
Rotation180°90° clockwiseabout(,)
Translationby the vector

Describe fully the transformation.

01234567891234567xyAB
1Decide: flip, turn or slide?
  • Flip: Reflection
  • Turn: Rotation
  • Slide: Translation
2Fill in its frame.
Not sure? Trace A.
1Decide2Fill in
Reflectionin the liney=4
Rotation180°90° clockwiseabout(,)
Translationby the vector

Describe fully the transformation.

0123456789123456xyAB
1Decide2Fill in
Reflectionin the linex=5
Rotation180°90° clockwiseabout(,)
Translationby the vector

Describe fully the transformation.

0123456789123456xyAB
1Decide: flip, turn or slide?
  • Flip: Reflection
  • Turn: Rotation
  • Slide: Translation
2Fill in its frame.
Not sure? Trace A.
1Decide2Fill in
Reflectionin the line=
Rotation180°90° clockwiseabout(,)
Translationby the vector−5−3

Describe fully the transformation.

0123456789123456xyAB
1Decide2Fill in
Reflectionin the linex=5
Rotation180°90° clockwiseabout(,)
Translationby the vector

Describe fully the transformation.

0123456789123456xyAB
1Decide: flip, turn or slide?
  • Flip: Reflection
  • Turn: Rotation
  • Slide: Translation
2Fill in its frame.
Not sure? Trace A.
1Decide2Fill in
Reflectionin the linex=4
Rotation180°90° clockwiseabout(,)
Translationby the vector

Describe fully the transformation.

0123456789123456xyAB
1Decide2Fill in
Reflectionin the line=
Rotation180°90° clockwiseabout(5,4)
Translationby the vector

Describe fully the transformation.

0123456789123456xyAB
1Decide2Fill in
Reflectionin the line=
Rotation180°90° clockwiseabout(5,3)
Translationby the vector

Describe fully the transformation.

0123456789123456xyAB
1Decide2Fill in
Reflectionin the line=
Rotation180°90° clockwiseabout(5,4)
Translationby the vector

Describe fully the transformation.

0123456789123456xyAB
1Decide: flip, turn or slide?
  • Flip: Reflection
  • Turn: Rotation
  • Slide: Translation
2Fill in its frame.
Not sure? Trace A.
1Decide2Fill in
Reflectionin the line=
Rotation180°90° clockwiseabout(,)
Translationby the vector4−3

Describe fully the transformation.

0123456789123456xyAB
1Decide2Fill in
Reflectionin the line=
Rotation180°90° clockwiseabout(5,4)
Translationby the vector

Describe fully the transformation.

0123456789123456xyAB
1Decide: flip, turn or slide?
  • Flip: Reflection
  • Turn: Rotation
  • Slide: Translation
2Fill in its frame.
Not sure? Trace A.
1Decide2Fill in
Reflectionin the line=
Rotation180°90° clockwiseabout(4,3)
Translationby the vector

Describe fully the transformation.

0123456789123456xyAB
1Decide2Fill in
Reflectionin the line=
Rotation180°90° clockwiseabout(5,4)
Translationby the vector

Describe fully the transformation.

01234567891234567xyAB
1Decide: flip, turn or slide?
  • Flip: Reflection
  • Turn: Rotation
  • Slide: Translation
2Fill in its frame.
Not sure? Trace A.
1Decide2Fill in
Reflectionin the liney=4
Rotation180°90° clockwiseabout(,)
Translationby the vector

Is the description right? Thumbs up or thumbs down.

AReflection in the line x = 4012345671234xyABNo: it slid
BReflection in the line x = 4012345671234xyABYes
CRotation 180° about (2, 4)012345671234xyABNo: it is (4, 2)
DRotation 90° clockwise about (3, 1)012345671234xyABYes

Mixed transformations: describe worksheet, page 1

Mixed transformations: describe worksheet, page 2

Answer sheet

  1. Shape B is twice as big as shape A. Is it a flip, a turn or a slide?

    None. An enlargement

  2. P (2, 3) is reflected in the y axis. Where does it land?

    (−2, 3)

  3. A half turn takes P (2, 1) to P′ (6, 5). Where is the cross?

    (4, 3), halfway

  1. Describe fully the transformation. 1Reflection/Rotation/Translation2in the line x=4

    012345671234xyAB

  2. Describe fully the transformation. 1Reflection/Rotation/Translation

    2 180° about (4, 3)
    012345671234xyAB

  3. Describe fully the transformation.

    Translation by the vector −4−2
    012345671234xyAB
Exit tickets to print