Mathematics 0580 · IGCSE · Geometrical constructions

Geometrical constructions — practice question

(a)[2]

Using only a ruler and compasses, construct triangle $DEF$. Keep the construction arcs on your drawing.

(b(i))[1]

Write down the letter of the triangle that is congruent to triangle $T$.

(b(ii))[1]

Write down the letter of the triangle that is similar to, but not congruent with, triangle $T$.

(c(i))[3]

Show that the perpendicular height, $h$, equals $6.58\text{ cm}$, correct to 3 significant figures.

(c(ii))[3]

Calculate the area of the triangle. Include the units in your answer.

(c(iii))[3]

Show that Kalpit cannot make a regular polygon.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correctly drawn triangle with construction arcs

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