1. EXERCISES ABOUT SIMILARITY
AND CONGRUENCES

2. 1. If DE is parallel to CB, given that AE = 9cm,
BC = 15 cm and 5AD = 2 AC,and then find :
C
D
a) EB b) BC
A
E B

3. PQRS is Trapezoid and TU is parallel to
PQ and SR. If PQ =20 cm, SR = 8cm,
PT = 7cm and TS =5cm.
S 8 cm R Find the length of TU
T U
P 20cm Q

4. PRQ and PTS are similar triangles
a) Mention the pairs
R
of equal angles
b) Mention the sides
S
which are
4 cm
corresponding
c) Find the length of
P Q
T
PQ

5. Given that the triangles are like
figure besides. If length of BD =
4cm, BC = 5cm
A
Find the length of :
a) AD
b) AB
D
B 5 cm C

6. 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…….
150 cm
2m 3m

7. A. photograph is placed in frame
measuring 20cm x 30cm, as seen in
the picture on the bellow.
20 cm
 If the photograph and its
X
cm frame are considered
similar, find :
4 4
a) the photograph size
30 cm
b) The value of x
cm cm
X
cm

8.  Let's practice until proficient,
don’t be bored.
 Good luck