CAIE IGCSE Mathematics Core 4 Geometry Topic Practice

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Covered syllabus points

C4.1 Geometrical termsC4.2 Geometrical constructionsC4.3 Scale drawingsC4.4 SimilarityC4.5 SymmetryC4.6 AnglesC4.7 Circle theorems

Question 1

[Maximum number: 2]
NOT TO SCALE

NOT TO SCALE

Question (a)

(a)

The line XY touches the circle at the point R.

Write down the mathematical name for the line XY.

[ 1 ]

Question (b)

(b)

Points P and Q lie on the circle.

Write down the mathematical name for the line PQ.

[ 1 ]

Question 2

[Maximum number: 2]

NOT TO SCALE

Triangle ABC is mathematically similar to triangle DEF.
Calculate the value of h.

h=

Question 3

[Maximum number: 1]

The diagram shows a shape with five shaded sections.

Figure for Question 3 — CAIE IGCSE Mathematics Core

Shade one more section on the diagram so that it has rotational symmetry of order 3.

Question 4

[Maximum number: 1]
Figure for Question 4 — CAIE IGCSE Mathematics Core

The diagram shows a circle, centre O, with diameter PQ. R is a point on the circumference.

Give a geometrical reason why angle PRQ is 90∘90^{\circ}.

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