If traingle ABC ~ triangle PQR and AC = 20 cm, PR = 10 cm, QR = 12 cm and PQ = 9 cm, find the lengths of AB and BC .

If triangleABC ~ trianglePQR and AC = 20 cm, PR = 10 cm, QR = 12 cm and PQ = 9 cm, find the lengths of AB and BC .

If the rectangular metal sheets ABCD and WXYZ are similar, calculate the length of XY when AB = 2 cm , BC =4 cm and WX = 2.5 cm .

Given that

where AB,BT and TA are sides of triangle ABT and KL, LC and CK are sides of triangle KLC. What does this information imply?

18. Given that m(BAC) = 80°, m(BCA) = 69°, m(YXZ) = 31° and m(YZX) = 80°. Show that the following triangles are similar.

25. Calculate MN and YM in the following figure

In the figure below, AB = 10 cm, AX = 6 cm, CX = 8 cm and AB is parallel to DC.

(i)  Show whether triangles AXB and CXD are similar or not.

(ii)  Find the length of CD.

(iii)  Find the ratio of the areas of triangles AXB and CXD.

In the figure below, AB = 10 cm, AX = 6 cm, CX = 8 cm and AB is parallel to DC.

(i)  Show whether triangles AXB and CXD are similar or not.

(ii)  Find the length of CD.

(iii)  Find the ratio of the areas of triangles AXB and CXD.

In the figure below, AB = 10 cm, AX = 6 cm, CX = 8 cm and AB is parallel to DC.

(i)  Show whether triangles AXB and CXD are similar or not.

(ii)  Find the length of CD.

(iii)  Find the ratio of the areas of triangles AXB and CXD.

25. In the figure below AB = 36cm, AC = BC = 24cm, EC = DC = 20cm and ED = 30cm. Show that triangles ABC and EDC are similar.

Given  =  =  = 3 where , and  are the sides of the triangle ABT and , and  are the sides of the triangle KLC. What does this Information imply?

Triangles ABC and DEF are similar. Find the size of the angles labeled x, y, z and w.

The lengths of two similar rectangles are 6 cm and 8 cm. If the area of the small rectangle is 73.8 cm² , find the area of the large rectangle.

In the figure below, calculate the length BD:

If polygons X and Y are similar and their areas are 16cm² and 49cm² respectively, what is the length of a side of polygon Y if the corresponding side of polygon X is 28cm?

(i) Show whether triangles PQR and ABC are similar or not

(ii) Find the relationship between y and x in the triangles given above.

In the figure below EF = FG and EH = HG . Show that triangles EFH and GFH are similar.

In the diagram below, show that 

(6 marks)

The volume of two similar cylinders is 125 cm³ and 512 cm³. If the radius of the larger cylinder is 8cm, find the radius of the smaller cylinder.

The sides of a triangle are 4cm, 5cm and 6cm. If the longest side of a similar triangle is 18cm, find the lengths of the other sides.

  and AC = 20cm, RP = 10 cm, RQ = 12cm and PQ 9cm.

Find the length of AB and BC 

A young designer has designed a building whose side view structure is represented by the following figure: 

1. State with reasons the pair of similar triangles. 
2. Determine the length of side FE.

In the following figure, ?ABC  ?APQR, AC =4.8 cm, AB = 4cm and PQ = 9cm. Find PR.

Rectangle ABCD is similar to rectangle WXYZ. If 

BC = 9cm, AB = 4CM and WX = 5cm; calculate the length of XY.