Download Constructions

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A construction is usually only performed
using a pair of compasses and a ruler.
Always leave
your construction
lines on your drawing
Easy marks – Its all just practice !!
No. 1
Construct a triangle when you
know all three side lengths
e.g. Construct a triangle which has sides of 10cm,
8cm and 7.5 cm
Measure and draw the longest side horizontally
Draw an arc of 8cm
from one end
Draw an arc of 7.5cm
from the other
Join up the sides where
the two arcs meet
10cm
No. 2
Construct a triangle when you
know two side lengths and the
included angle
e.g. Construct a triangle which has sides of 90mm,
65mm and an angle of 350 between them
Measure and draw the longest side horizontally
Measure an angle
of 350 at one end
Draw a line of 65mm
at this angle
Join up the the last
two corners
350
90mm
No. 3
Construct a triangle when you
know one side length and two
angles
e.g. Construct a triangle which has a side of 7.6cm
and angles of 540 and 370
Measure and draw the side horizontally
Measure an angle
of 370 at one end
Draw a long line at
this angle
Measure an angle
of 540 at the other
Draw a long line at
this angle
540
370
7.6cm
Construct the following triangles
1.
2.
3.
4.
5.
6.
8cm, 9.5cm, 12cm
7cm, 680, 280
89mm, 470, 76mm
680, 170, 102mm
13cm, 8cm, 8cm
6cm, 9.3cm, 840
7. Measure the length of the third side in
questions 3 and 6
8. Measure the size of the third angle in
questions 2 and 4
No. 4
Construct a line bisector
e.g. Construct the perpendicular bisector of a line AB
Draw a line AB
Draw a large arc which
is over half the distance
between A and B from A
Draw the same arc
from B
Draw a straight line
through the two points
where the two arcs meet
A
B
No. 5
Construct an angle bisector
e.g. Construct the line which bisects angle ABC
Draw two lines to form
angle ABC
C
Draw an arc from B
which cuts both sides
of the angle
Draw the same arc
from both of the new
points
Draw a straight line
through the third point
and B
A
B
Construct the bisectors of the following
1.
2.
3.
4.
5.
6.
A line 7cm long
An angle of 700
An angle of 1300
A line of 102mm
An angle of 2800
A line of 0.056m
Draw any triangle and
bisect each of its sides
Draw any triangle and
bisect each of its angles