Two similar right-angled triangles are shown in the diagram below.
 

The total perimeter of the two triangles, in metres, is

1. 21
2. 30
3. 36
4. 42
5. 45

Triangle , shown below, has side lengths of 3 cm, 4 cm and 5 cm.
 

Four other triangles have the following side lengths:

• • Triangle has side lengths of 3 cm, 6 cm and 8 cm.
  • Triangle has side lengths of 4 cm, 8 cm and 12 cm.
  • Triangle has side lengths of 6 cm, 8 cm and 10 cm.
  • Triangle has side lengths of 9 cm, 12 cm and 15 cm.

The triangles that are similar to triangle are

1. triangle and triangle .
2. triangle , triangle and triangle .
3. triangle and triangle .
4. triangle and triangle .
5.  triangle and triangle .

Triangle ABC is similar to triangle DEF.
 

The length of DF, in centimetres, is

The diagram below shows a cross-section, , of a swimming pool.

The swimming pool is 11 metres long and the depth increases uniformly from 1 metre at the shallow end to 1.8 metres at the deep end.

The depth of the water at a point 8 metres from the shallow end, represented by on the diagram is closest to

A. 

B. 

C. 

D. 

E. 

In the diagram,

Line segments and are parallel.

The length of is

A.     

B.    

C.   

D.   

E.  

In triangle , point lies on side and point lies on side .

The lines and are parallel.

The length of is 4 cm, the length of is 6 cm and the length of is 5 cm.
 

The length of , in cm, is equal to

A.   

B.   

C. 

D. 

E. 

The two triangles, and , are similar.

The length is

A.   

B.   

C.   

D.   

E.