Easy Reflect
Transcript of 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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