### Construction (II)

Reference: Study Notes (last section) Practice Questions on Geometrical Construction

Question 1
Draw ∆ ABC in which AB = 9.0 cm, AC = 6.5 cm and BC = 10.6 cm.
(a) the perpendicular bisector of the side AB
(b) the angle bisector of angle BAC

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Question 2
The following shows a regular polygon.
Using ruler and compasses only, construct the
(a) bisector of obtuse angle CDE and
(b) equilateral triangle CXD, with X below CD

Measure
(a) length of AB
(b) obtuse angle ABC
(c) name the polygon

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Question 3
The diagram shows a triangle PQR. On the diagram
(a) Construct the angle bisector of angle PRQ
(b) Construct the perpendicular bisector of PR
(c) Mark with a letter X the point where your answers in part (a) and (b) meet
(d) What can you say about angle XPQ and angle XQP?

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Question 4
Draw and label the locus of points within the triangle which are
(a) 8 cam from A
(b) 2.5 cm from AB
(c) equidistant from A and B
(d) equidistant from AB and BC

A point Q is such that AQ < 8 cm, more than 2.5 cm from AB, is nearer to A than B and nearer to AB than BC. Shade the region in which Q must be.