ECZ 2010 · O-Level Paper 2 · Question 4 — Construction and Loci

Question from ECZ 2010 · O-Level Paper 2 · Question 4

(a) Construct triangle DEF in which EF = 10 cm, angle DEF = 38° and angle DFE = 95°.[1]

Verified working — step 1

Draw EF = 10 cm.

(b) On your diagram, draw the locus of points which are:

(b(i)) 4.5 cm from F,[1]

Verified working — step 1

The locus 4.5 cm from F is an…

(b(ii)) equidistant from DE and EF.[2]

Verified working — step 1

DE and EF meet at E, so points equidistant …

(c) P is a point inside the triangle DEF such that it is 4.5 cm from F and is equidistant from DE and EF. Label the point P.[1]

Verified working — step 1

P must satisfy both loci at once.

(d) Measure and write down the length of EP.[1]

Verified working — step 1

Measure EP on the finished …

The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.

Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

Have a different question?

Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.