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Construction 1a Construction 1a Construct a triangle (ASA)Construct a triangle (ASA)

Construction 1b Construction 1b Construct a triangle (SAS)Construct a triangle (SAS)

Construction 2 Construction 2 Construct the bisector of an angleConstruct the bisector of an angle

Construction 3 Construction 3 Construct the perpendicular bisector of a line segment.Construct the perpendicular bisector of a line segment.

Draw a line segment [qr] 8cm in length. Name the points and mark the length.

|qr|=8cm

46°52°

p

rq

• At q using a protractor mark and draw an angle of 52o.

• At r mark and draw an angle of 46o

• Mark the point of intersection of the two angles.

• This is the point p.

END OF CONSTRUCTION

65°

ba

c

ab=12cm

ac=9cm

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END OF CONSTRUCTION

• Draw a line segment 12cm in length. Name the points and mark the length.

• Use a protractor to draw a line at 65o to |ab|.

• Use a compass with a as centre and 9cm radius to draw an arc on this line.

• Mark the point of intersection c.

• Join c to b and complete labels.

Draw the angle aob. Using the vertex o as centre draw an arc to meet the arms of the angle at

x and y. Using x as centre and the same radius draw a new arc. Using y as centre and the same radius draw an overlapping arc. Mark the point where the arcs meet. The bisector is the line from o to this point.

y

x

o

a

b

xxxx

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END OF CONSTRUCTION

Draw the line segment

a b

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END OF CONSTRUCTION

• Using a as centre and a radius greater than half |ab| draw an arc.• Using b as centre and the same radius draw another arc.• Draw a line through the points where the arcs cross.

Ms.S.Saifee