Cambridge International Mathematics

Challenge #endboxedheading

382 Similarity (Chapter 18)

3.6 cmX

A

B

C

3cm

2.7 cm

ycmX

P

Q

R

4cm

xcm

A

B C

D

E

5cm

4cm

382 Similarity (Chapter 18)

6 Triangles ABC and PQR are similar.

Find: a x b y

7aExplain why triangles ABE and ACD are similar.

b Find the length of CD given that BE has length 4 cm.

c If triangle ABE has area 10 cm^2 , find the area of

quadrilateral BEDC.

8 Rectangles ABCD and EFGH are similar. Find the dimensions of rectangle EFGH.

9 Two similar cylinders have surface areas of 250 cm^2 and 360 cm^2 respectively. Find the volume

of the larger cylinder if the volume of the smaller cylinder is 375 cm^3.

1 The vertical walls of two buildings are 40 m and 30 m

tall. A vertical flag pole XY is between the buildings

such that B, Y and C are collinear and A, Y and D are

collinear.

How high is the flag pole?

2

2cm

AD3cm

BC

EH

FG

13 cm

AXC

B

D

Y

A rectangular piece of sailcloth m by m is folded

so that one corner is placed over the diagonally

opposite corner. How long is the crease?

34 ¡¡

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y:\HAESE\IGCSE01\IG01_18\382IGCSE01_18.CDR Thursday, 23 October 2008 11:53:15 AM PETER