1 ABC is a triangle.
6 cm
8 cm
AB = 10 cm A B
BC = 8 cm AB AC = 6 cm 10 cm
Use ruler and compasses to construct an accurate drawing of triangle ABC.
You must show all your construction lines.
(3 marks)
2 A stadium is going to be built.
It must be no more than 10 km from town A and no more than 8 km from town B.
1 cm represents 2 km
Shade the region on the diagram where the stadium can be built.
× Town A
×
Town B
(2 marks)
3 In the space below, use a ruler and compasses to construct an equilateral triangle
with side length 6 cm.
You must show all your construction lines.
(3 marks)
4 Use ruler and compasses to construct the perpendicular from point C to the line AB.
You must show all your construction lines.
×C
(2 marks)
5 Use ruler and compasses to construct the perpendicular from point P to the line AB.
You must show all your construction lines.
×P
A B
(2 marks)
6 Use ruler and compasses to construct the bisector of angle BAC. You must show
all your construction lines.
C
( 2 marks)
7 Use ruler and compasses to construct the bisector of angle DEF. You must show
all your construction lines.
F
(2 marks)
8 Use ruler and compasses to construct a perpendicular bisector of the line PQ.
You must show all your construction lines.
P Q
( 2 marks)
9 In the space below, use a ruler and compasses to construct a 30° angle. You must
show all your construction lines.
(4 marks)
10 Here is a scale drawing of a garden. The scale is 1 cm to 2 m
A tree is going to be planted.
The tree must be more than 4 m from the patio.
The tree must be more than 6 m from the pond.
Shade the region where the tree can be planted.
Patio
×
Pond
( 2 marks)
11 Here is a scale drawing of a room. The scale is 1 cm to 2 m.
A chair is going to be placed in the room.
The chair must be closer to AB than BC.
The chair must be less than 14 m from D.
Shade the region where the chair can be placed.
A D
B C
(2 marks)
12 A, B and C are three points on a map.
1cm represents 100 metres.
×B
A
×
×
C
Point P is 300 metres from A.
Point P is equidistant from B and C.
On the map, show the possible positions of P.
(3 marks)
