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Worksheets

Triangles - Class X

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

If  ΔABC\Delta ABC  and  ΔDEF\Delta DEF  are similar such that 2 AB= DE and BC=8 cm, then EF=

a)

16cm

b)

12cm

c)

8cm

d)

4 cm

2.

 ΔABC\Delta ABC   \sim   Δ PQR\Delta\ PQR  , such that ar( Δ\Delta  ABC)=4 ar( ΔPQR\Delta PQR  ).If BC= 12 cm, then QR=

a)

9 CM

b)

10 cm

c)

6 cm

d)

8 cm

3.

in the fig, if DE ll BC then find the value of AD

a)

16

b)

8

c)

4

d)

32

4.

In the fig, DE ll BC. find the value of EC

a)

4

b)

18

c)

12

d)

16

5.

In figure,

 QA  AB and PB  AB. QA\ \perp\ AB\ and\ PB\ \perp\ AB.\   If AO = 20 cm, BO = 12 cm PB = 18 cm, then AQ = ?

a)

32 cm

b)

28 cm 

c)

30 cm

d)

35 cm

6.

If in two triangles ABC and PQR,  \frac{AB}{QR}=\ \frac{BC}{PR}=\ \frac{CA}{PQ}  , then ..

a)

 Δ PQR Δ CAB\Delta\ PQR\ \sim\Delta\ CAB  

b)

 Δ PQR Δ ABC\Delta\ PQR\ \sim\Delta\ ABC  

c)

 Δ CBA Δ PQR\Delta\ CBA\ \sim\Delta\ PQR  

d)

 Δ BCA Δ PQR\Delta\ BCA\ \sim\Delta\ PQR  

7.

∆DEF ~ ∆ABC, if DE : AB = 2 : 3 and ar(∆DEF) is equal to 44 square units. Find the area (∆ABC).

a)

33cm2

b)

85cm2

c)

90cm2

d)

99cm2

8.

Basic proportionality theorem is known as

a)

Pythagoras theorem

b)

Area theorem

c)

none of the above

d)

Thale's theorem

9.

ABCD is a trapezium whose diagonals AC and BD intersect at O such that OA = (3x - 1) cm, OB = (2x + 1) cm OC = (5x - 3) cm and OD = (6x - 5) cm. Find x.

a)

2

b)

3

c)

2.5

d)

4

10.

In given fig.  ΔODC ~ ΔOBA ,  \angle BOC = 125° and                    \angle CDO = 70°. Find  \angle  DCO .

a)

125 °\degree   

b)

55 \degree   

c)

70 \degree   

d)

65 \degree