Mixed transformations: perform

The Maths Habit

1How many squares from P to the mirror line?P3 squares
2How does 4−2 move a shape?4 right, 2 down
3How many squares from the cross to P? Which way?P4 squares left

Shape A has moved three times.
Which has flipped? Which has turned? Which has slid?

ABCD

B has flipped. D has turned. C has slid.

Reflect
Flip the shape over a mirror line.
Rotate
Turn the shape about a point, the cross.
Translate
Slide the shape. A vector says how far.

Read the word. Flip, turn or slide?

1Translate the shape by 2−3.slide
2Reflect the shape in the mirror line.flip
3Rotate the shape 180° about the cross.turn
4Translate the shape by −41.slide

Reflect

PP′

Count the squares from each corner to the line.

Count the same past it.

Rotate

PP′

Count from the cross to P. Say which way.

180°: the same, the opposite way. Trace and turn.

Translate

Read the vector: right or left, up or down.

Move every corner the same.

1Read the word.2Do the move.3Draw the new shape.

Reflect the shape in the mirror line.

mirror linePQRP′Q′R′
1Read the word. reflect/rotate/translate
2Do the move.
squares to the lineP3Q1R3
3Draw the new shape.

Translate the shape by 42.

1Read the word. reflect/rotate/translate
2Do the move.
4right/left2up/down
3Draw the new shape.

Reflect the shape in the mirror line.

mirror linePQRP′Q′R′
1Read the word. reflect/rotate/translate
2Do the move.
squares to the lineP3Q1R3
3Draw the new shape.

Translate the shape by 5−2.

1Read the word.
  • reflect: count to the line
  • rotate: count from the cross
  • translate: read the vector
2Do the move.
3Draw the new shape.
1Read the word. reflect/rotate/translate
2Do the move.
5right/left2up/down
3Draw the new shape.

Reflect the shape in the mirror line.

mirror linePQRP′Q′R′
1Read the word. reflect/rotate/translate
2Do the move.
squares to the lineP3Q1R3
3Draw the new shape.

Reflect the shape in the mirror line.

mirrorlinePQRP′Q′R′
1Read the word.
  • reflect: count to the line
  • rotate: count from the cross
  • translate: read the vector
2Do the move.
3Draw the new shape.
1Read the word. reflect/rotate/translate
2Do the move.
squares to the lineP1Q2R3
3Draw the new shape.

Reflect the shape in the mirror line.

mirror linePQRP′Q′R′
1Read the word. reflect/rotate/translate
2Do the move.
squares to the lineP3Q1R3
3Draw the new shape.

Translate the shape by −5−3.

1Read the word.
  • reflect: count to the line
  • rotate: count from the cross
  • translate: read the vector
2Do the move.
3Draw the new shape.
1Read the word. reflect/rotate/translate
2Do the move.
5right/left3up/down
3Draw the new shape.

Copy each shape. Do the move.

1Read the word.
  • reflect: count to the line
  • rotate: count from the cross
  • translate: read the vector
2Do the move.
3Draw the new shape.

1Reflect the shape in the mirror line.

mirror linePQRP′Q′R′
1Read the word. reflect/rotate/translate
2Do the move.
squares to the lineP3Q1R4
3Draw the new shape.

2Translate the shape by 61.

1Read the word. reflect/rotate/translate
2Do the move.
6right/left1up/down
3Draw the new shape.

3Translate the shape by −5−2.

1Read the word. reflect/rotate/translate
2Do the move.
5right/left2up/down
3Draw the new shape.

Rotate the shape 180° about the cross.

PP′
1Read the word. reflect/rotate/translate
2Do the move.
P2up/down/left/right
P′2up/down/left/right
3Draw the new shape.

Rotate the shape 180° about the cross.

PP′
1Read the word. reflect/rotate/translate
2Do the move.
P2up/down/left/right
P′2up/down/left/right
3Draw the new shape.

Rotate the shape 180° about the cross.

PP′
1Read the word. reflect/rotate/translate
2Do the move.
P2up/down/left/right
P′2up/down/left/right
3Draw the new shape.

Rotate the shape 180° about the cross.

PP′
1Read the word.
  • reflect: count to the line
  • rotate: count from the cross
  • translate: read the vector
2Do the move.
3Draw the new shape.
1Read the word. reflect/rotate/translate
2Do the move.
P3up/down/left/right
P′3up/down/left/right
3Draw the new shape.

Rotate the shape 180° about the cross.

PP′
1Read the word. reflect/rotate/translate
2Do the move.
P2up/down/left/right
P′2up/down/left/right
3Draw the new shape.

Reflect the shape in the mirror line.

mirror linePQRP′Q′R′
1Read the word.
  • reflect: count to the line
  • rotate: count from the cross
  • translate: read the vector
2Do the move.
3Draw the new shape.
1Read the word. reflect/rotate/translate
2Do the move.
squares to the lineP1Q4R3
3Draw the new shape.

Rotate the shape 180° about the cross.

PP′
1Read the word. reflect/rotate/translate
2Do the move.
P2up/down/left/right
P′2up/down/left/right
3Draw the new shape.

Rotate the shape 180° about the cross.

PP′
1Read the word.
  • reflect: count to the line
  • rotate: count from the cross
  • translate: read the vector
2Do the move.
3Draw the new shape.
1Read the word. reflect/rotate/translate
2Do the move.
P2up/down/left/right
P′2up/down/left/right
3Draw the new shape.

Copy each shape. Do the move.

1Read the word.
  • reflect: count to the line
  • rotate: count from the cross
  • translate: read the vector
2Do the move.
3Draw the new shape.

1Rotate the shape 180° about the cross.

PP′
1Read the word. reflect/rotate/translate
2Do the move.
P2up/down/left/right
P′2up/down/left/right
3Draw the new shape.

2Translate the shape by 5−3.

1Read the word. reflect/rotate/translate
2Do the move.
5right/left3up/down
3Draw the new shape.

3Reflect the shape in the mirror line.

mirrorlinePQRP′Q′R′
1Read the word. reflect/rotate/translate
2Do the move.
squares to the lineP2Q3R1
3Draw the new shape.

Is the grey shape the move asked for? Thumbs up or thumbs down.

AReflect.Yes
BReflect.No: it has slid, not flipped
CTranslate by 41.Yes
DTranslate by 50.No: it has flipped, not slid

Mixed transformations: perform worksheet, page 1

Mixed transformations: perform worksheet, page 2

Answer sheet

  1. A rectangle is 2 squares wide and 3 squares tall. It is enlarged by scale factor 2. How tall is the new rectangle?

    6 squares
  2. The point (2, 3) is rotated 180° about (0, 0). Where does it end up?

    (−2, −3)
  3. The point (1, 5) is reflected in the line x = 4. Where does it end up?

    (7, 5)

  1. Reflect the shape in the mirror line. 1reflect/rotate/translate2P 1Q 1R 2

    PQRP′
  2. Translate the shape by −32. 1translate23 left2 up

  3. Rotate the shape 180° about the cross. (Draw it on your ticket.)

    P
Exit tickets to print