Edexcel IGCSE Math A Foundation 4.11 A Geometrical Properties of Similar Figures Questions

Practise similar-length questions by matching corresponding sides, finding the linear scale factor and applying it to the missing length.

Exam points

Match corresponding sides in similar quadrilaterals, triangles or other shapes.
Find and use the linear scale factor to calculate a missing side length.
Work with algebraic or numerical similar-shape diagrams to find x, y or a length.

[Maximum number: 4]

ABC and DEF are similar triangles.

Figure for Question Edexcel IGCSE Math A Foundation 4.11 A Geometrical Properties of Similar Figures Questions question 1 — Edexcel IGCSE Math A Foundation

(a)

Work out the length of DF.
cm

[ 2 ]

Scale examples:
$\frac{15}{6},\quad \frac{6}{15},\quad \frac{4.2}{6},\quad \frac{6}{4.2}$

Final answer:
10.5

Equivalent answers accepted.

(b)

Work out the length of BC.
cm

[ 2 ]

$19.5 \div 2.5$ or $19.5 \times 0.4$ oe or
$4.2 \times \frac{19.5}{(\mathrm{a})}$

M1; if using DF, follow through their answer from part (a).

Final answer:
7.8

A1 oe.

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Edexcel IGCSE Math A Foundation 4.11 A Geometrical Properties of Similar Figures Questions question 1

Question (a)

Question (b)