Exercises about similarity and congruences

8
EXERCISES ABOUT SIMILARITY AND CONGRUENCES

Transcript of Exercises about similarity and congruences

Page 1: Exercises about similarity and congruences

EXERCISES ABOUT SIMILARITY AND CONGRUENCES

Page 2: 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

Page 3: Exercises about similarity and congruences

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

Page 4: Exercises about similarity and congruences

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

Page 5: Exercises about similarity and congruences

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

Page 6: Exercises about similarity and congruences

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

Page 7: Exercises about similarity and congruences

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

Page 8: Exercises about similarity and congruences

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

Good luck