2D shapes Quiz (Grade 1)

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Score: 0 / 10

2D shapes — Notes & Worked Examples Show / Hide

Explanation:

Know your polygons by their number of sides: Pentagon (5), Hexagon (6), Heptagon (7), Octagon (8), Nonagon (9), Decagon (10). A regular polygon has all sides equal and all interior angles equal, and a regular n-sided polygon has n lines of symmetry and rotational symmetry of order n.

For special quadrilaterals: a parallelogram has two pairs of parallel equal sides; a rhombus has 4 equal sides; a trapezium has exactly one pair of parallel sides; and a kite has two pairs of adjacent equal sides and 1 line of symmetry.

Example 1: Name the quadrilateral with: (a) 4 equal sides & 2 lines of symmetry (b) 1 pair of parallel sides.

(a) Rhombus (4 equal sides, 2 diagonal symmetry lines; square has 4).

(b) Trapezium (exactly one pair of parallel sides).

Example 2: Give the lines of symmetry and order of rotational symmetry of a rectangle and a parallelogram.

• Rectangle: 2 lines of symmetry (not diagonals), rotational order 2.

• Parallelogram: 0 lines of symmetry, rotational order 2.

One Page Guide (PDF) 2D shapes Worksheets

Question 1

[2 marks]

Work out
On the grid, draw a quadrilateral with no lines of symmetry and rotational symmetry of order 2.

On the grid, draw a quadrilateral with
[INDENT]no lines of symmetry
[INDENT]and rotational symmetry of order 2

Worked Solution & Answer

A general parallelogram has 0 lines of symmetry and rotational symmetry of order 2 M1 A1

Answer: Parallelogram drawn (not a rectangle or rhombus)

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Question 2 AQA Nov 2024 2F Q16 / 2H Q3

[2 marks]

In the grid below, shade **one quarter** of the squares
[INDENT] so that the grid has exactly **two** lines of symmetry.
Shade complete squares only.

Worked Solution & Answer

1/4 of 16 = 4 squares M1
Shading (row 1, col 2–3) and (row 4, col 2–3) gives vertical and horizontal symmetry but not diagonal symmetry. A1

Answer: 4 squares shaded giving exactly 2 lines of symmetry (e.g. middle two squares on top and bottom rows)

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Question 3 AQA Nov 2021 1F Q11

[2 marks]

Complete the diagram so that it has rotational symmetry of order 4 centre of rotation at point A.

Answer

Worked Solution & Answer

Rotate the given triangle by 90°, 180°, and 270° clockwise about point A to form a symmetrical 4-blade shape. M1 A1

Answer: Answer Three additional triangles drawn rotated by 90°, 180°, and 270° about A

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Question 4 OCR Jun 2023 3F Q1

[2 marks]

(c) A quadrilateral has
• exactly one line of symmetry
and
• each angle is either acute or obtuse.
Draw a possible quadrilateral on this grid.
The dashed line must be the line of symmetry.

(c) A quadrilateral has
• exactly one line of symmetry
and
• each angle is either acute or obtuse.
Draw a possible quadrilateral on this grid.
The dashed line must be the line of symmetry. [2 marks]

Worked Solution & Answer

(c)

An isosceles trapezium or kite with no 90° angles has exactly 1 line of symmetry and only acute/obtuse angles. M1 A1

Answer (c): Isosceles trapezium or kite (with no right angles) symmetrical about the vertical dashed line.

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Question 5 AQA Nov 2024 3F Q13

[3 marks]

(a) Draw the two lines of symmetry on the pattern. [2 marks]
13 (b) Shade four more squares so that the pattern has rotational symmetry of order 4. [1 mark]

(a) Here is a pattern of squares on a grid.
Draw the **two** lines of symmetry on the pattern. [2 marks]

(b) Here is the pattern again.
Shade **four** more squares so that the pattern has **rotational** symmetry of order 4 [1 mark]

Worked Solution & Answer

(a)

Draw vertical and horizontal lines through the middle of the pattern M1 A1

Answer (a): Vertical and horizontal midlines

(b)

Rotating the pattern by 90° requires two protruding squares on the top and bottom to match the left and right sides B1

Answer (b): 4 squares shaded at (2,3), (2,5), (6,3), (6,5)

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Question 6 OCR Nov 2021 1F Q3

[3 marks]

Here is a rhombus.

(a) On the diagram, draw **all** of the lines of symmetry. [2 marks]

(b) Write down the order of rotation symmetry of the rhombus. [1 mark]

Worked Solution & Answer

(a)

The two diagonals of the rhombus are its lines of symmetry M1 A1

Answer (a): 2 diagonal lines of symmetry drawn

(b)

Order of rotational symmetry is 2 B1

Answer (b): 2

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Question 7 AQA Jun 2024 1H Q13

[4 marks]

ABCDE is a pentagon with AB = 7 cm
• BC = 6 cm
• AB and BC are perpendicular.
• AB and DC are equal **and** parallel.
• Area of the pentagon = 54 cm²
• The pentagon has exactly **one** line of symmetry.

Complete a **labelled** drawing of the pentagon.

Worked Solution & Answer

Rectangle ABCD has area 6 × 7 = 42 cm² M2
Triangle ADE above AD has area 54 – 42 = 12 cm². M1
1/2 × 6 × h = 12 ⇒ h = 4 cm, so apex E is on the vertical line of symmetry 4 cm above AD. A1

Answer: C6 units right of B, D 7 units above C, E 3 units right and 4 units above A, with C, D, E labelled

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Question 8 OCR Jun 2025 2F Q4

[4 marks]

Work out
(a) (i) Write down the mathematical name of each of the shapes.
(ii) Write down the order of rotational symmetry of shape **A**.
(b) Add correct notation to the shape below to show that it is an isosceles triangle.

(a) Write down the mathematical name of each of the shapes. [2 marks]

(b) Write down the order of rotational symmetry of shape **A**. [1 mark]

(b) Add correct notation to the shape below to show that it is an isosceles triangle. [1 mark]

Worked Solution & Answer

(a)

Shape A has two pairs of parallel sides ⇒ Parallelogram M1
Shape B has 6 sides ⇒ Hexagon. A1

Answer (a): Shape A: Parallelogram; Shape B: Hexagon

(b)

A parallelogram maps onto itself twice during a full 360° turn ⇒ order 2. B1

Answer (b): 2

(b)

Mark the two equal sloping sides with matching tick lines (or the two equal base angles with matching arcs). C1

Answer (b): Equal tick marks drawn on the two equal sides

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Question 9 Eduqas Jun 2017 2F Q3

[4 marks]

(a) Draw or name a diagram of the shape that is described below:
• The shape has 4 straight sides.
• The opposite sides are equal in length.
• The opposite sides are parallel to each other.
• There are no right angles.
(b) (i) The diagram shows two triangles and a trapezium.
Which of the following is the right angle?
• ABĈ
• BAĈ
• ACB̂
• DFÊ
• DEF̂
(b) (ii) Which line is parallel to KL?
• KN
• NM
• AB
• LM
• AC
(b) (iii) Triangle DEF is:
• scalene
• equilateral
• right-angled
• isosceles

(b) The diagram shows two triangles and a trapezium. [1 mark]

Which of the following is the right angle?
• ABĈ
• BAĈ
• ACB̂
• DFÊ
• DEF̂

(d) Triangle DEF is:
• scalene
• equilateral
• right-angled
• isosceles [1 mark]

Worked Solution & Answer

(a)

A quadrilateral with opposite sides parallel and equal, but no right angles, is a parallelogram (or a rhombus if all sides are equal). B1

Answer (a): Parallelogram (or rhombus)

(b)

In triangle ABC, the right-angle square marker is located at vertex C, which is ACB̂. B1

Answer (b): ACB

(c)

In trapezium KLMN, matching arrows on sides KL and NM indicate that KL is parallel to NM. B1

Answer (c): NM

(d)

Sides DF and DE have tick marks indicating they are equal in length, so △ DEF is isosceles. B1

Answer (d): isosceles

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Question 10 IGCSE Nov 2024 1F Q2

[4 marks]

Here are two shapes.

(a) triangle, [1 mark]

(b) quadrilateral. [1 mark]

(b) On the triangle, draw the line of symmetry. [1 mark]

Worked Solution & Answer

(a)

Isosceles

Answer (a): Isosceles

(b)

Square

Answer (b): Square

(b)

Vertical line of symmetry drawn through top vertex

Answer (b): Vertical line of symmetry drawn through top vertex

(c)

Two equal sides = isosceles triangle
4 equal sides and 4 right angles = square (rotational symmetry order 4). B1

Answer (c): 4

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Score: 0 / 10 (0 / 30 marks)

2D shapes Worksheets Next: 3D shapes →

Grade 1 Quizzes

16 Topics

1A - Addition	1B - Subtraction
1C - Multiplication	1D - Division
1E - Time	1F - Ordering FDP
1G - Place Value	1H - Rounding
1J - Negative numbers	1K - Powers and roots
1L - BIDMAS	1M - Factors, multiples and primes
1N - Coordinates	1P - Pictograms
1Q - 2D shapes	1R - 3D shapes