Mathematics 4024 · O Level · Geometrical constructions

Geometrical constructions — practice question

ABC forms a triangle. B and D lie on opposite sides of the line AC. DA = 9 cm and CD = 7 cm.
(a(i))[2]

Draw and label point D accurately.

(a(ii))[1]

Measure the angle $D\hat{A}B$.

(a(iii)(a))[1]

Find the minimum distance from B to AC.

(a(iii)(b))[2]

Work out the area for triangle ABC.

(b(i))[1]

Give a reason why P, Q, R and S cannot all lie on the circumference of a circle.

(b(ii)(a))[4]

Construct and shade the region in which T lies.

(b(ii)(b))[1]

Find the maximum possible value of $RT$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: $D$ positioned correctly to the left of $AC$

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