1. Construct the triangle pqr where |qr|=8cm, |<pqr|=52o and |<prq|=46o (A S A)
Draw a line segment [qr] 8cm in length. Name the points and mark the length.
At q using a protractor mark and draw an angle of 52o.
At r mark and draw an angle of46o
Mark the point of intersection of the two angles.
This is the point p. p
Sketches
Quit
52.0
46.0
Proofs q
|qr|=8cm r
Menu
END OF CONSTRUCTION

2. Construct a triangle abc where |ab| = 12cm, |<bac|=65o and |ac| = 9 cm (S A S)
USE MOUSE CLICKS TO VIEW 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. c
|ac|=9cm
65.0
Sketches
Quit a b
Proofs
Menu
|ab|=12cm
END OF CONSTRUCTION

3. Construct the bisector of an angle
USE MOUSE CLICKS TO VIEW CONSTRUCTION
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. a x x x o
Quit
Sketches y
Menu
Proofs b
END OF CONSTRUCTION

4. Construct the perpindicular bisector of a line segment
USE MOUSE CLICKS TO VIEW CONSTRUCTION
Draw the line segment
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. a b
Sketches
Quit
Proofs
Menu
END OF CONSTRUCTION

5. Divide the line segment [ab] into three equal parts
USE MOUSE CLICKS TO VIEW CONSTRUCTION
Draw the line segment [ab].
Through a draw a line at an acute angle to [ab].
On this line use circle arcs of the same radius to mark off three segments of equal length [ar], [rs] and [st].
Join t to b.
Throuth s and r draw line segments parallel to [tb] to meet [ab] at d and c.
Now |ac|=|cd|=|db| a c d b r s
Quit
Sketches t
Menu
Proofs
END OF CONSTRUCTION