Edexcel IGCSE Math B 6 Geometry Question Bank

Practise angle facts, congruence, similarity, loci, symmetry, Pythagoras, and circle geometry using diagrams and written reasons.

Covered syllabus points

6.A Euclidean geometry 6.B Geometrical reasoning 6.C Angle properties 6.D Quadrilaterals 6.E Symmetry 6.F Pythagoras in 2D and 3D 6.G Similarity 6.H Triangle similarity 6.I Congruent shapes 6.J Triangle congruence 6.K Circle theorems 6.L Cyclic quadrilaterals 6.M Loci 6.N Constructions

[Maximum number: 2]

Each interior angle of a regular polygon is $172^{\circ}$

Calculate the number of sides of the polygon.

The length of each side of the regular polygon is 5.2 cm to 2 significant figures.

$\frac{360}{180-172}=45$
Final answer:
45

Marking notes:
Equivalent equation (n-2)180=172n is allowed.

[Maximum number: 3]

Figure for Question 6 Geometry question 2 — Edexcel IGCSE Math B

Diagram NOT accurately drawn.

Figure 2 shows a quadrilateral ABCD with
$\overrightarrow{AB}=\binom{8.5}{4.5}\quad\text{and}\quad \overrightarrow{AC}=\binom{15}{5}.$
The diagonals AC and BD meet at the point E.

Given that ABCD is a kite, find the coordinates of the point D.

$\overrightarrow{OB}=\binom{-3}{1}+\binom{8.5}{4.5}=\binom{5.5}{5.5}$ $\overrightarrow{BE}=\binom{-8.5}{-4.5}+\binom{3}{-1}+\binom{6}{4}=\binom{0.5}{-1.5}$ $\overrightarrow{OD}=\overrightarrow{OE}+\overrightarrow{BE} =\binom{6}{4}+\binom{0.5}{-1.5} =\binom{6.5}{2.5}$

Final answer:
(6.5,2.5)

[Maximum number: 2]

Figure for Question 6 Geometry question 3 — Edexcel IGCSE Math B

Write down

(a)

the number of lines of symmetry of the figure,

[ 1 ]

(b)

the order of rotational symmetry of the figure.

[ 1 ]

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Covered syllabus points

6 Geometry question 1

6 Geometry question 2

6 Geometry question 3

Question (a)

Question (b)