EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
With the data in the given figure, △GJO ≅ △HIO by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
2
2.
With the data in the given figure, △UEF ≅ △VFE by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
3
3.
With the given data in the figure, △EFG ≅ △HGF by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
4
4.
With the given data in the figure, △HGJ ≅ △IFJ by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
5
5.
With the data in the given figure, △OPR ≅ △QPR by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
6
6.
With the data in the figure, △LOM ≅ △NOM by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
7
7.
With the data in the given figure, △ABD ≅ △ACD by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
8
8.
In the given figure, △HIJ is an obtuse angled triangle. △HIK ≅ △JIK by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
9
9.
With the data in the given figure, △ODC ≅ △OBA by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
10
10.
With the given data in the figure, △VFG ≅ △UGF by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
11
11.
In the given figure, △EFG ≅ △STU. Which of the following are true?
a)
ST = 13 cm
b)
ST = 14 cm
c)
US = 13 cm
d)
TU = 13 cm
e)
TU = 14 cm
f)
US = 15 cm
(i)
{c,a,e}
(ii)
{b,a}
(iii)
{d,b,f}
(iv)
{c,e}
(v)
{a,e,f}
Question
12
12.
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)
Area of
△FGH
=
1
3
area of
△IJK
b)
Area of △FGH = 4 times area of △IJK
c)
Area of trapezium
GHJK
is
1
4
the area of
△FGH
d)
All four small triangles have equal areas
e)
Area of trapezium GHJK is thrice the area of △FKJ
(i)
{a,c,e}
(ii)
{b,d,e}
(iii)
{c,d}
(iv)
{a,b}
(v)
{a,b,d}
Question
13
13.
In the given figure, which of the following is true?
(i)
△LNO ≅ △NLM
(ii)
△LNO ≅ △LMN
(iii)
△LON ≅ △LMN
(iv)
△LON ≅ △MNL
(v)
△LNO ≅ △LNM
Question
14
14.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
Question
15
15.
With the data in the given figure, △CFE ≅ △CDE by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
16
16.
With the data in the figure, △EHF ≅ △EHG by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
17
17.
With the data in the figure, △ABD ≅ △BAC by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
18
18.
With the data in the figure, △GHJ ≅ △KIJ by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
19
19.
With the data in the figure, △GHJ ≅ △HGI by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
20
20.
In the given figure, HIJK is a square and △RHI is an equilateral triangle. △RKH ≅ △RJI by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
21
21.
With the data in the figure, △GJH ≅ △GJI by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
22
22.
With the data in the given figure, △ADB ≅ △ADC by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
23
23.
With the data in the figure, △GJH ≅ △HIG by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
24
24.
In the given figure, which of the following is true?
(i)
△ABC ≅ △STU
(ii)
△ABC ≅ △TUS
(iii)
△BCA ≅ △STU
(iv)
△ABC ≅ △UTS
(v)
△ABC ≅ △UST
Question
25
25.
With the data in the given figure, △PQS ≅ △QPR by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
not congruent
Assignment Key
1) (v)
2) (i)
3) (v)
4) (v)
5) (iii)
6) (v)
7) (v)
8) (iv)
9) (iv)
10) (v)
11) (v)
12) (ii)
13) (i)
14) (iii)
15) (iii)
16) (iii)
17) (v)
18) (iv)
19) (i)
20) (v)
21) (i)
22) (iii)
23) (v)
24) (i)
25) (v)
