EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
2
2.
With the data in the given figure, △KLN ≅ △KMN by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
3
3.
With the data in the given figure, △EFH ≅ △EGI by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
4
4.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△GFE
≅
(i)
△HFG
(ii)
△IGF
(iii)
△IHE
(iv)
△HFE
(v)
△GHE
Question
5
5.
With the data in the given figure, △CED ≅ △DFC by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
6
6.
With the data in the given figure, △ABE ≅ △ACD by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
7
7.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
Question
8
8.
In the given figure, points I , J and K are the mid-points of sides GH, HF and FG of △FGH. Which of the following are true?
a)
△KGI ≅ △FKJ
b)
△FKJ ≅ △JIH
c)
△FKJ ≅ △IKJ
d)
△FKJ ≅ △IJK
e)
△KGI ≅ △IJK
(i)
{c,a}
(ii)
{c,b}
(iii)
{c,d}
(iv)
{a,b,d,e}
(v)
{c,e,a}
Question
9
9.
With the data in the given figure, △DOE ≅ △DOF by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
10
10.
With the given data in the figure, △NMP ≅ △OLP by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
11
11.
With the data in the figure, △ACD ≅ △ACB by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
12
12.
With the data in the given figure, △OPR ≅ △QPR by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
13
13.
With the data in the figure, △BEC ≅ △CDB by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
14
14.
In the given figure, which of the following is true?
(i)
△DGF ≅ △DEF
(ii)
△DFG ≅ △DEF
(iii)
△DFG ≅ △DFE
(iv)
△DGF ≅ △EFD
(v)
△DFG ≅ △FDE
Question
15
15.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△OML
≅
(i)
△OLK
(ii)
△ONK
(iii)
△OMN
(iv)
△NLK
(v)
△NLM
Question
16
16.
In the given figure, △DEF ≅ △UTS. Which of the following are true?
a)
∠E = ∠T
b)
EF = TS
c)
EF = UT
d)
∠F = ∠S
e)
∠D = ∠S
(i)
{a,b,d}
(ii)
{c,e,d}
(iii)
{c,a,b}
(iv)
{e,b}
(v)
{c,a}
Question
17
17.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IEH
≇
(i)
△IGF
(ii)
△IEF
(iii)
△IGH
(iv)
△HEF
Question
18
18.
With the data in the figure, △KNL ≅ △MNL by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
19
19.
Which of the following are true?
a)
If two figures are congruent, then they are similar too.
b)
Similar figures have same area.
c)
If two figures are similar, then they are congruent too.
d)
Similar and congruent are not synonymous.
e)
Congruent figures have same area.
(i)
{b,a,d}
(ii)
{a,d,e}
(iii)
{b,c,e}
(iv)
{c,d}
(v)
{b,a}
Question
20
20.
With the data in the given figure, △HKO ≅ △IJO by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
21
21.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△HGD
≅
(i)
△HFE
(ii)
△GEF
(iii)
△HFG
(iv)
△HED
(v)
△GED
Question
22
22.
With the data in the given figure, △OJI ≅ △OHG by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
23
23.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△PNO
≅
(i)
△PNM
(ii)
△POL
(iii)
△OMN
(iv)
△PML
(v)
△OML
Question
24
24.
With the data in the figure, △BEC ≅ △CDB by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
25
25.
In the given figure, △DEF ≅ △VUT. Which of the following are true?
a)
∠U = 48°
b)
∠V = 53°
c)
∠V = 79°
d)
∠T = 79°
e)
∠T = 48°
f)
∠U = 53°
(i)
{d,a,f}
(ii)
{b,c,e}
(iii)
{c,e,f}
(iv)
{b,e}
(v)
{a,c}
Assignment Key
1) (ii)
2) (v)
3) (iv)
4) (v)
5) (ii)
6) (v)
7) (i)
8) (iv)
9) (i)
10) (iii)
11) (v)
12) (v)
13) (iii)
14) (v)
15) (iii)
16) (i)
17) (iv)
18) (v)
19) (ii)
20) (ii)
21) (iv)
22) (iii)
23) (i)
24) (i)
25) (iii)
