Exercises about similarity and congruences

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Transcript of Exercises about similarity and congruences

EXERCISES ABOUT SIMILARITY AND CONGRUENCES

C

D

AE B

1. If DE is parallel to CB, given that AE = 9cm, BC = 15 cm and 5AD = 2 AC,and then find :

a) EB b) BC

PQRS is Trapezoid and TU is parallel to PQ and SR. If PQ =20 cm, SR = 8cm, PT = 7cm and TS =5cm.

Find the length of TUS

T

P

R

Q

U

8 cm

5 c

m

7 c

m

20cm

PRQ and PTS are similar triangles

a) Mention the pairs of equal angles

b) Mention the sides which are corresponding

c) Find the length of PQ

S

QPT

R

6 cm

4 c

m

10 cm

Given that the triangles are like figure besides. If length of BD = 4cm, BC = 5cm

Find the length of :a) ADb) AB

5 cm

4 cm

A

B

D

C

A. child of 150 cm tall is standing 3m away from a flagpole base. If the shadow of the child is 2 m long.

So the actual height of the flagpole is…….1

50 c

m

2 m 3 m

A. photograph is placed in frame measuring 20cm x 30cm, as seen in the picture on the bellow.

If the photograph and its frame are considered similar, find : a) the photograph sizeb) The value of x

X cm

X cm

30

cm

20 cm

4 cm

4 cm

Let's practice until proficient, don’t be bored.

Good luck