CAIE IGCSE Mathematics Extended E4.4.1 Calculate Lengths of Similar Shapes Questions

Practise Extended CAIE IGCSE Mathematics by identifying geometric relationships and describing figures precisely.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Extended

Exam points

  • Interpret and use standard geometrical terms and notation in diagrams.
  • Recognise relationships such as perpendicular, parallel, congruent and similar.
  • Describe geometric figures accurately using the required terminology.

CAIE IGCSE Mathematics Extended E4.4.1 Calculate Lengths of Similar Shapes Questions question 1

[Maximum number: 2]
NOT TO SCALE

NOT TO SCALE

The diagram shows a cyclic quadrilateral ABCD. BD and AC intersect at X.

In the diagram, triangle ADX is similar to triangle BCX.
BC=4.5 cm,AD=9 cmB C=4.5 \mathrm{~cm}, A D=9 \mathrm{~cm} and CX=3.3 cmC X=3.3 \mathrm{~cm}.

Work out XD.
X D= cm [2]

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