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MATHEMATICS PRACTICE QUESTIONS

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CONSTRUCTION

1.

(a)

Using ruler and a pair of compasses only, construct:

(i)

the quadrilateral ABCD such that |AB| = 6.5 cm, |BC| = 9 cm, |AD| = 4 cm, ∠ ABC = 60° and ∠ BAD = 120°;

(ii)

the perpendicular bisectors of BC and CD.

(b)

Locate the point of intersection, T, of the two bisectors in (a(ii).

(c)

With the point T in (b) as centre, draw a circle to pass through the vertices B, C and D.

(d)

Measure:

(i)

|BT|;

(ii)

|CD|.

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