EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
In the given figure, three lines l , m and n are such that l ∥ m ∥ n.
Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.
∠FEH =
(i)
∠ACF
(ii)
∠ABH
(iii)
∠EHF
(iv)
∠FDA
(v)
∠DAF
Question
2
2.
A vehicle goes 12 km South and then 14 km East. How far is it from its starting point ?
(i)
20.44 km
(ii)
17.44 km
(iii)
16.44 km
(iv)
18.44 km
(v)
19.44 km
Question
3
3.
In the given figure, ∠GDE = ∠FDG and DG ∥ HF and DE = 19 cm, EG = 11 cm and GF = 9 cm. Find DH
(i)
15.55 cm
(ii)
14.55 cm
(iii)
17.55 cm
(iv)
13.55 cm
(v)
16.55 cm
Question
4
4.
In the given figure, △GHI is right-angled at H. Also, HJ ⟂ GI. If GJ = 15.6 cm, HJ = 12.49 cm, then find JI.
(i)
10.00 cm
(ii)
12.00 cm
(iii)
9.00 cm
(iv)
11.00 cm
(v)
8.00 cm
Question
5
5.
In the given figure, three lines l , m and n are such that l ∥ m ∥ n.
Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.
∠HFE =
(i)
∠FEH
(ii)
∠AFD
(iii)
∠FDA
(iv)
∠HAB
(v)
∠FAC
Question
6
6.
In the given figure, BD is the angular bisector of
∠B
&
∠D
AB
=
20 cm
,
BC
=
21 cm
and
CD
=
26 cm
.
Find
DA
(i)
25.76 cm
(ii)
26.76 cm
(iii)
23.76 cm
(iv)
24.76 cm
(v)
22.76 cm
Question
7
7.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A square is a polygonal region.
c)
A circle is a polygonal region.
d)
A triangle is a polygonal region.
e)
A sector is a polygonal region.
(i)
{c,d}
(ii)
{b,d}
(iii)
{a,b}
(iv)
{c,d,b}
(v)
{e,a,b}
Question
8
8.
In the given figure, if BC ∥ DE then
(i)
△BCF ∼ △FED
(ii)
△BCF ∼ △EDF
(iii)
△FBC ∼ △FDE
(iv)
△FCB ∼ △FED
(v)
△BCF ∼ △FDE
Question
9
9.
In the given figure
△FGH
,
I
is the mid-point of
FG
and
IJ
∥
GH
,
then
FJ
=
(i)
GH
2
(ii)
FI
(iii)
HF
2
(iv)
FG
2
(v)
GH
Question
10
10.
In the given figure, ∠DEF = 48.27°, find the value of y =
(i)
43.73°
(ii)
39.73°
(iii)
40.73°
(iv)
41.73°
(v)
42.73°
Question
11
11.
Which of the following are measures of an isosceles right angled triangle ?
(i)
BC = 14 cm , CD = 12 cm , DB = 10 cm
(ii)
BC = 13 cm , CD = 22 cm , DB = 11 cm
(iii)
BC = 11 cm , CD = 11 cm , DB = 15.56 cm
(iv)
BC = 14 cm , CD = 14 cm , DB = 10 cm
(v)
BC = 11 cm , CD = 11 cm , DB = 11 cm
Question
12
12.
Which of the following are true?
a)
If two figures are similar, then they are congruent too.
b)
Similar and congruent are not synonymous.
c)
Similar figures have same area.
d)
If two figures are congruent, then they are similar too.
e)
Congruent figures have same area.
(i)
{a,b}
(ii)
{b,d,e}
(iii)
{a,b,d}
(iv)
{c,d}
(v)
{a,c,e}
Question
13
13.
Identify the property by which the two given triangles are similar
(i)
AAA Similarity
(ii)
SSS Similarity
(iii)
not similar
(iv)
SAS Similarity
Question
14
14.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
FD
=
(i)
EC
(ii)
DB
(iii)
BC
(iv)
BF
(v)
BE
Question
15
15.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
GK
=
(i)
KI
(ii)
IG
(iii)
GH
(iv)
JH
(v)
GJ
Question
16
16.
Two poles of heights 8 m and 13 m stand vertically on a plane ground. If the distance between their feet is 15 m, find the distance between their tops
(i)
14.81 m
(ii)
15.81 m
(iii)
17.81 m
(iv)
13.81 m
(v)
16.81 m
Question
17
17.
In the given figure, △ABC is an acute angled triangle and AD ⟂ BC. Then
(i)
AC
2
=
AB
2
+
BC
2
−
2
BC
.
BD
(ii)
AC
2
=
AB
2
+
BC
2
−
2
AB
.
BC
(iii)
AC
2
=
AB
2
+
BC
2
−
AD
2
(iv)
AC
2
=
AB
2
+
BC
2
+
2
BC
.
BD
(v)
AC
2
=
AB
2
+
BC
2
+
2
AB
.
BC
Question
18
18.
Which of the following are necessary conditions for similarity of two polygons ?
a)
The corresponding angles are proportional.
b)
The corresponding angles are equal.
c)
The corresponding sides are equal.
d)
The corresponding sides are proportional.
(i)
{a,d,b}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{a,c,b}
(v)
{b,d}
Question
19
19.
In the given figure, EFG is a triangle and 'O' is a point inside △EFG. The angular bisector of ∠FOE, ∠GOF & ∠EOG meet EF, FG & GE at H, I & J respectively . Then
(i)
EH . FI . GJ = OE . OF . OG
(ii)
EH . FI . GJ = HI . IJ . JH
(iii)
EH . FI . GJ = HF . IG . JE
(iv)
EH . FI . GJ = EF . FG . GE
(v)
EH . FI . GJ = OH . OI . OJ
Question
20
20.
In the given figure, three lines l , m and n are such that l ∥ m ∥ n.
Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.
∠DAF =
(i)
∠AFD
(ii)
∠BHA
(iii)
∠CFA
(iv)
∠HFE
(v)
∠EHF
Question
21
21.
In the given figure, △DEF is isosceles right-angled at E and EG ⟂ FD. ∠F =
(i)
∠D
(ii)
∠H
(iii)
∠I
(iv)
∠G
(v)
∠E
Question
22
22.
Which of the following are measures of an isosceles right angled triangle ?
(i)
DE = 12 cm , EF = 12 cm , FD = 16.97 cm
(ii)
DE = 10 cm , EF = 15 cm , FD = 13 cm
(iii)
DE = 11 cm , EF = 20 cm , FD = 15 cm
(iv)
DE = 10 cm , EF = 14 cm , FD = 11 cm
(v)
DE = 13 cm , EF = 13 cm , FD = 13 cm
Question
23
23.
In a right angled triangle, if one of the sides is 4 cm and hypotenuse 5 cm, find the third side
(i)
1.00 cm
(ii)
3.00 cm
(iii)
5.00 cm
(iv)
4.00 cm
(v)
2.00 cm
Question
24
24.
In the given figure, △DEF is isosceles with DE = DF and EG ⟂ DF. Then
(i)
EG
2
−
FG
2
= 2
FG
.
DG
(ii)
EG
2
+
FG
2
= 2
FG
.
DG
(iii)
EG
2
+
DG
2
= 2
FG
.
DG
(iv)
EG
2
−
DG
2
= 2
FG
.
DG
Question
25
25.
In the given figure, F and G are points on the sides CD and CE respectively of △CDE.For which of the following cases, FG ∥ DE
a)
CF = 9 cm, FD = 9 cm, CG = 8.5 cm and GE = 8.5 cm
b)
CD = 18 cm, FD = 9 cm, CE = 17 cm and CG = 8.5 cm
c)
CD = 18 cm, FD = 9 cm, CG = 10.5 cm and CE = 17 cm
d)
CD = 18 cm, CF = 11 cm, CE = 17 cm and GE = 8.5 cm
(i)
{c,b,a}
(ii)
{d,b}
(iii)
{c,a}
(iv)
{c,d,a}
(v)
{a,b}
Assignment Key
1) (iv)
2) (iv)
3) (i)
4) (i)
5) (ii)
6) (iv)
7) (ii)
8) (ii)
9) (iii)
10) (iv)
11) (iii)
12) (ii)
13) (i)
14) (iv)
15) (i)
16) (ii)
17) (i)
18) (v)
19) (iii)
20) (v)
21) (i)
22) (i)
23) (ii)
24) (i)
25) (v)
