(a) Write down the mathematical name of each of these shapes.
(i) A triangle with 3 equal sides.
.................. triangle [1]
(ii) A quadrilateral with 4 equal sides and no right angles. [1]
(b) Here is a rectangle.
(i) On the diagram, draw the rectangle’s two lines of symmetry. [1]
(ii) The rectangle has rotation symmetry of order 2.
Amaya says
A rectangle is the only quadrilateral that has rotation symmetry of order 2.
Is she correct? Show how you decide. [2]
(c) Add the correct symbols to this diagram to show that line AB is parallel to line DC.
[1]
Mark scheme (a)
Answer
Marks
Part marks and guidance
(i) Equilateral
1
(ii) Rhombus
1
Mark scheme (b)
Answer
Marks
Part marks and guidance
(i) Draws both lines of symmetry correctly
1
Mark intention
(ii) She is incorrect oe and gives rhombus or parallelogram as the other quadrilateral
2
M1 for correct description of RS of any other quadrilateral e.g square has order 4
For M1 ISW other comments that do not refer to symmetry
See AG
Exemplar responses
Exemplar responses for Q5bii
Response
Mark
A rhombus has symmetry of order 2. (No decision).
1
No, other polygons have rotation symmetry of 2 eg rhombus, kite.
1
Diagram of square drawn and 4 written by the side (BOD 1 as they haven’t contradicted that the 4 isn’t order of rotation)
1
No because if you take a square or a rhombus you can also have rotation symmetry of 2 (not a completely correct statement for both marks but M1 scored for ‘rhombus….symmetry of 2’)
1
No because other quadrilaterals have rotational symmetry 2
0
No because a square has rotational symmetry 2
0
Amaya is not correct because a rectangle is not the only quadrilateral that has rotational symmetry 2. A square also has it.
0
She isn’t correct because there are a few shapes with it
0
Yes because a square is a quadrilateral but has 4 lines of symmetry
0
Squares do not have a rotational symmetry of order 2.
0
Rhombus drawn in the space provided with the correct lines of symmetry
0
No because some irregular quadrilaterals have 4 – depends on the shape if it is irregular shape
0
This because most other quadrilaterals don’t have the same sides as the others, leaving no symmetry (correct description of a scalene quadrilateral but they need to specify the shape by name)
0
Mark scheme (c)
Answer
Marks
Part marks and guidance
Arrows facing the same way added to AB and DC
1
Condone more than one arrow facing the same way on AB and DC
