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2. 03 December 2018
Loci

3. A dog is connected to a stake in the ground by a 3m leash.
Can he bite the man?

4. A dog is connected to a stake in the ground by a 3m leash.
Can he bite the man? 3m

5. A dog is connected to a stake in the ground by a 3m leash.
Can he bite the man? 3m

6. A dog is connected to a stake in the ground by a 3m leash.
Can he bite the man? 3m

7. A dog is connected to a stake in the ground by a 3m leash.
Can he bite the man? 3m

8. A dog is connected to a stake in the ground by a 3m leash.
Can he bite the man? 3m

9. A dog is connected to a stake in the ground by a 3m leash.
Can he bite the man? 3m

10. A dog is connected to a stake in the ground by a 3m leash.
Can he bite the man? 3m
The circle represents the locus of points 3 meters
from the stake in the ground

11. A locus (plural loci) is a set of points that satisfy a description.
2cm
3cm
3cm A A B

12. A dog is tethered to a rail at the top of a triangular
fence by a rope 1m long. Draw the locus of points
the cow can graze. (1 square = 1m)
A horse is tethered to a stake by a rope 3m long.
Draw the locus of points the horse can graze.
(1 square = 1m)
A cow is tethered to a rail at the top of a 4m fence
by a rope 1m long. Draw the locus of points the cow
can graze. (1 square = 1m) 1) 3) 5) A
A goat is tethered to the corner of a field (B)
by a rope 9m long. Draw the locus of points
the goat can graze.
(1 square = 2m)
A dog is tethered to the corner of a house (C)
by a rope 4m long. Draw the locus of points
the dog can reach.
(1 square = 2m)
A dog is tethered to the corner of a house (D)
by a rope 3m long. Draw the locus of points
the dog can reach.
(1 square = 1m) B 2) 4) 6) D C

13. A dog is tethered to a rail at the top of a triangular
fence by a rope 1m long. Draw the locus of points
the cow can graze. (1 square = 1m)
A horse is tethered to a stake by a rope 3m long.
Draw the locus of points the horse can graze.
(1 square = 1m)
A cow is tethered to a rail at the top of a 4m fence
by a rope 1m long. Draw the locus of points the cow
can graze. (1 square = 1m) 1) 3) 5) A
A goat is tethered to the corner of a field (B)
by a rope 9m long. Draw the locus of points
the goat can graze.
(1 square = 2m)
A dog is tethered to the corner of a house (C)
by a rope 4m long. Draw the locus of points
the dog can reach.
(1 square = 2m)
A dog is tethered to the corner of a house (D)
by a rope 3m long. Draw the locus of points
the dog can’t reach.
(1 square = 1m) B 2) 4) 6) D C

14. Draw the locus of points 4.5 cm away from the edge of the rectangle.
of the triangle.

15. Draw the locus of points 4.5 cm away from the edge of the rectangle.
of the triangle.

16. Draw the locus of points 4.5 cm away from the edge of the rectangle.
of the triangle.

17. A tiger is tied to the edge of a building (at A) with a 5m leash.
Which humans can he eat?
1cm = 1m A
A donkey is tied to a rail
with a 4m leash.
Which flowers can he eat?
1cm = 1m

18. A tiger is tied to the edge of a building (at A) with a 5m leash.
Which humans can he eat?
1cm = 1m A
A donkey is tied to a rail
with a 4m leash.
Which flowers can he eat?
1cm = 1m

20. Can the prisoner escape through the fog without being seen by the guards?
Guards can see 4m in the fog. They walk their path.
Escape!
Infrared cameras see for 360° and 8m
2m = 1cm
Start
4cm

21. Can the prisoner escape through the fog without being seen by the guards?
Guards can see 4m in the fog. They walk their path.
Escape!
Infrared cameras see for 360° and 8m
2m = 1cm
Start

22. Can the prisoner escape through the fog without being seen by the guards?
Guards can see 2m in the fog. They walk their path.
Infrared cameras see for 360° and 4m
1m = 1cm
Start

23. Can the prisoner escape through the fog without being seen by the guards?
Guards can see 2m in the fog. They walk their path.
Infrared cameras see for 360° and 4m
1m = 1cm
Start