Untitled lesson

O LEVEL (P1)
SYMMETRY
QUESTION'S

1

In the answer space, write down the letters of all the shapes which have

(a)exactly 1 line of symmetry,

(b) rotational symmetry of order 2.

Answer (a) ........................................... [1]

(b) ........................................... [1]

Shape A

B

C

D

E

F

2The following list gives the names of six shapes.

Rectangle

Equilateral triangle

Square

Kite

Trapezium

Parallelogram

From this list, write down the name of the shape which always has

(a) rotational symmetry of order 3,

(b) rotational symmetry of order 2 and exactly 2 lines of symmetry,

(c) one line of symmetry only.

(a)

Answer

.....................................................................[1]

(b) .....................................................................[1]

(c) .....................................................................[1]

1

3(a) On the regular hexagon below, draw all the lines of symmetry.

[1]

(b) On the grid below, draw a quadrilateral with rotational symmetry of order 2.

[1]

4 (a) In the diagram in the answer space, two small squares are shaded.

Shade one more small square, so that the
figure will then have one line of symmetry.

Answer (a)

[1]

(b) In the diagram in the answer space, two small triangles are shaded.

Shade four more small triangles, so that the
figure will then have rotational symmetry of
order 3.

Answer (b)

[1]

2

5
parallelogram
rectangle
rhombus
square

Which of these quadrilaterals have

(a) exactly 2 lines of symmetry,

Answer ....................................................................................................................................... [1]

(b) rotational symmetry of order 2,

Answer ....................................................................................................................................... [1]

(c) diagonals that are equal?

Answer ....................................................................................................................................... [1]

6 (a) On the diagram below, shade two more squares to make a pattern that has rotational

symmetry of order 2.

[1]

(b) On the diagram below, shade two more squares to make a pattern that has only one line of
symmetry.

[1]

3

7 (a) On the grid below, draw a quadrilateral with

no rotational symmetry
and just 1 line of symmetry.

[1]

(b) Complete this description.

A parallelogram has rotational symmetry of order ...........................

and ........................... lines of symmetry.

[1]

8 Choose a quadrilateral from the list to complete each statement.

Kite

Parallelogram

Rectangle

Rhombus

Square

Trapezium

(a) A ......................................................... has four equal sides and four angles of 90°.

[1]

(b) A ......................................................... has just one pair of parallel sides.

[1]

(c) A ......................................................... has just one pair of opposite angles equal and

its diagonals bisect at 90°.

[1]

4

9 The diagram shows the regions A to I�

0

A
B

C

D
E

F
G
H
I
1

2

3

4

5

12345x

y

Give the letter of the region defined by each set of inequalities�

(a) x > 0, y > 0, y < 1 and y < 4 – 2x

Answer ��������������������������������������������[1]

(b) y > 1, y < x – 2 and y < 5 – x

Answer ��������������������������������������������[1]

5

10 (a) Complete the pattern so that AB is the only line of symmetry.

A

B

[1]

(b) Shade four more small triangles in the shape below to make a pattern
with rotational symmetry of order 3.

[1]

11 Tasnim records the temperature, in °C, at 6 a.m. every day for 10 days.

-6 -3 0 -2 -1 -7 -5 2 -1 -3

(a) Find the difference between the highest and the lowest temperatures.

Answer ........................................................ °C [1]

(b) Find the median temperature.

Answer ........................................................ °C [1]

6

12 (a) In the diagram, six small triangles are shaded.

Shade one more small triangle, so that the diagram will then have one line of symmetry.

[1]

(b) The diagram below has rotational symmetry.

Mark the centre of rotational symmetry with a dot, and write down the order of rotational
symmetry.

Answer Order of rotational symmetry = .............................................. [1]

7

13 (a) In the diagram, seven small triangles are shaded.

Shade two more small triangles, so that the diagram will then have rotational symmetry of
order 3.

[1]

(b) In the diagram, ten small hexagons are shaded.

Shade one more small hexagon, so that the diagram will then have exactly one line of symmetry.

[1]

8

14 (a) Complete the diagram to make a quadrilateral ABCD which has AC as its line of symmetry. A

B

C

[1]

(b) Complete the diagram to make a quadrilateral PQRS which has rotational symmetry of order 2.

P

Q

R

[1]

15 (a) Complete this description.

A rectangle has rotational symmetry of order ………

[1]

and ……… lines of symmetry.

(b) Shade 4 more small squares in the shape below to make a pattern with
rotational symmetry of order 4.

[1]

9

16 (a)

In the diagram, five small squares are shaded.

Shade one more small square, so that the diagram has exactly one line of symmetry.

[1]

(b)

In the diagram, three small squares are shaded.

Shade one more small square, so that the diagram has rotational symmetry of order 4.

[1]

17 Complete the sentences below which describe two different types of quadrilateral.

(a) A .................................................. has two pairs of equal sides and just one line of symmetry. [1]

(b) A ..................................................has two pairs of equal sides, no line of symmetry and

rotational symmetry of order 2.

[1]

10

18 (a) Shade one more small triangle in the shape below to make a pattern with one line of symmetry.

[1]

(b) Shade two more small triangles in the shape below to make a pattern with rotational symmetry of
order 2.

[1]

11