Easy Reflect

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    Name __________________________________ Reflective symmetry

    Each of these shapes has at least 1 line of symmetry, some have more than 1 line of symmetry.

    On each shape, draw the line/lines of symmetry

    1.

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    2.  A shaded shape is shown on the grid of centimetre squares.

    a! "ind the area of the shaded shape. ######## cm$

    (2)

    %he shaded shape has one line of symmetry.

    &! 'raw this line of symmetry on the shaded shape. (1)

    3. On the diagram &elow, shade one square so that the shape has e(actly one line of symmetry.

    (1)

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    4.  A shaded shape has &een drawn on the centimetre grid.

    %he shaded shape has two lines of symmetry.

    'raw the two lines of symmetry on the shaded shape.( 2)

      5. )ere are four quadrilaterals la&elled A, B, C and D.

    A

    r e c t a n g l eB

     p a r a l l e l o g r a m

    C

    r h o m b u s  D

    k i t e

    *rite down the letter of the quadrilateral which has

    i! e(actly one line of symmetry, ...............

    ii! no lines of symmetry, ...............

    iii! both diagonals as lines of symmetry. ...............(3)

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      6. a! A shape is drawn on a grid.

     A

     B

    'raw the reflection of the shape using the line AB as a mirror line.(2)

    .

    +irror line

    'raw the reflection of the shape in the mirror line.(2)

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    !. 'raw the reflection of the shape in the mirror line.

        M

         i   r   r   o

       r

         l     i   n

       e

    (2)

      "

    a! "ind the area of the shaded shape.

    ..................................................................................................................................(2)

    &! 'raw the reflection of the shaded shape in the mirror line.(2)

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    1#

     x

     y

     – 2 – 3 – 4 – 5 – 6 – 7 – 1   1 2 3 4 5 6 7

    7

    6

    5

    4

    3

    2

    1

     – 1

     – 2

     – 3

     – 4

     – 5

     – 6

     – 7

    0

    T

     

    a! *rite the coordinates of the right angle in triangle $ .........., ..........!

      &! -eflect triangle $ on the  x  a(is, la&el this new triangle %  *rite the coordinates of the right angle in triangle % .........., ..........!

      c! -eflect triangle % on the y a(is, la&el this new triangle R  *rite the coordinates of the right angle in triangle R .........., ..........!

      d! -eflect triangle R on the  x  a(is, la&el this new triangle &

      *rite the coordinates of the right angle in triangle & .........., ..........!

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    Name _________________________ Rot'tion'l %ymmetry.

    Rot'tion'l %ymmetry.

    1. On each shape, draw the line/lines of symmetry

      $ *rite the order of rotation under each shape

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    3. tate the order of rotational symmetry for each tile &elow.

    ...................................................................................................

    (3)

    4. a! *rite down the order of rotational symmetry of this rectangle.

    .........................................................................................................................(1)

    &! %he picture shows a large tile with only part of its pattern filled in.

      omplete the picture so that the tile has $ lines of symmetry and rotational symmetry order $.(2)

    5.  On the diagram &elow, shade one square so that the shape has rotational symmetry of order 2.

    (1)

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    6. )ere are four quadrilaterals la&elled A, B, C and D.

    A

    r e c t a n g l eB

     p a r a l l e l o g r a m

    C

    r h o m b u s  D

    k i t e

    *rite down the letter of the quadrilateral which oes not have rotational symmetry of order $.

    ............... (1)

    . %he shapes &elow are drawn on square grids.

    %he diagrams show a rectangle that is rotated, then rotated again.

    %he centre of rotation is mar0ed •

    omplete the diagrams &elow to show the triangle when it is rotated, then rotated again.

    %he centre of rotation is mar0ed •

      (2)

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    !. a! ou can rot'te triangle A onto triangle B.

    2ut a cross on the centre of rot'tion.

    A

    B

    1 mar0

    &! ou can rot'te triangle A onto triangle B.

    %he rotation is 'nticloc*wise.

    *hat is the 'n+le of rotation3

     Angle 4 ..#####..... 5

    1 mar0

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    9. %he diagram shows part of a shape.

    %he shape has rotational symmetry of order 6 a&out the point P .

     P

    a! On the grid a&ove, complete the shape.(3)

    &! On the grid &elow, show how the shaded shape will tessellate.

    ou should draw at least si( shapes.

    (2)($ot'l 5 m'r*s)

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      AN*E-  -E"7E%89E ++E%- -O%A8ONA7 ++E%-

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    11. y

     x

    5

    4

    3

    2

    1

     – 1

     – 2

     – 3

     – 4

     – 6 – 5 – 4 – 3 – 2 – 1 1 2 3 4 5 60

      'raw the reflection of the shaded triangle in the y a(is.(2)

    12. y

     xO

    -eflect the triangle in the x a(is. (1)

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    13.

    6

    5

    4

    3

    2

    1

    0

     – 1

     – 2

    654321 – 1 – 2   7 8   x

     y

    a! 'raw the line y  : $ on the grid a&ove.(1)

    &! -eflect the shaded triangle in the line y  = $.(1)

    14. %he diagram shows two triangles ABC  and PQR .

    6

    5

    4

    3

    2

    1

     – 1

     – 2

     – 6 – 5 – 4 – 3 – 2 – 1 1 2 3 4 5 6  x

     y

     A

     B

    C    P

    Q

     R

    0

    a! *hat are the coordinates of the point A3 Answer ........................, .......................!

     (1)

    &! %riangle ABC  is reflected in a mirror line to give triangle PQR .'raw the mirror line.

    (1)

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    15.

    %riangle A and triangle B have &een drawn on the grid.

    a! 'raw the line of reflection that maps triangle A onto triangle ; (2)

    &! -eflect triangle A in the line x  :

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