Worksheets · Foundation and Higher

Shape vocabulary, symmetry and quadrilaterals

3 exam-style questions. Answers and the mark for each step are on the last page.

Question 1Non-calculator · 1 mark
(a) A rhombus is not a square. What is its order of rotational symmetry? (1)
1. 1
2. 2
3. 4
4. 0
Question 2Non-calculator · 4 marks
A quadrilateral has vertices $(-3,-2)$ , $(3,-2)$ , $(3,2)$ and $(-3,2)$ in order, with $k=3$ .
(a) Name the quadrilateral as precisely as possible and justify your answer. (2)
(b) Find its perimeter. (2)
Question 3Non-calculator · 4 marks
Quadrilateral PQRS has vertices P(0, 0), Q(4, 3), R(9, 3) and S(5, 0).
(a) Show that PQRS is a rhombus. (2)
(b) Work out the area of PQRS. (2)

Answers and marks

(a) 2

(a) It is a rectangle: adjacent sides are horizontal and vertical, all angles are right angles, and the side lengths are unequal.

M1 The horizontal side is twice k and the vertical side is four units.
C1 Correct conclusion with supporting reasoning: It is a rectangle: adjacent sides are horizontal and vertical, all angles are right angles, and the side lengths are unequal.

(b) $20$

(a) PQ = √(4² + 3²) = 5, QR = 5, RS = √(4² + 3²) = 5 and SP = 5, so all four sides are equal.

M1 Use Pythagoras for each sloping side.
C1 Correct conclusion with supporting reasoning: PQ = √(4² + 3²) = 5, QR = 5, RS = √(4² + 3²) = 5 and SP = 5, so all four sides are equal.

(b) $15$ square units

Shape vocabulary, symmetry and quadrilaterals

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