EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
In the given figure, △BCD ≅ △RQP. Which of the following are true?
a)
CD = RQ
b)
∠D = ∠P
c)
CD = QP
d)
∠B = ∠P
e)
∠C = ∠Q
(i)
{a,b,c}
(ii)
{b,c,e}
(iii)
{a,d,e}
(iv)
{a,b}
(v)
{d,c}
Question
2
2.
With the given data in the figure, △LMN ≅ △NOL by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
3
3.
In the given figure, which of the following is true?
(i)
△FGH ≅ △RQP
(ii)
△FGH ≅ △RPQ
(iii)
△FGH ≅ △QRP
(iv)
△GHF ≅ △PQR
(v)
△FGH ≅ △PQR
Question
4
4.
With the given data in the figure, △FEH ≅ △GDH by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
5
5.
With the data in the given figure, △KFG ≅ △JGF by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
6
6.
With the data in the figure, △DGE ≅ △EFD by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
7
7.
With the data in the figure, △BFE ≅ △CFD by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
not congruent
Question
8
8.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 2
(ii)
fig 4
(iii)
fig 1
(iv)
fig 3
Question
9
9.
Which of the following are true?
a)
A square is a polygonal region.
b)
A circle is a polygonal region.
c)
A semi-circle is a polygonal region.
d)
A sector is a polygonal region.
e)
A triangle is a polygonal region.
(i)
{c,e,a}
(ii)
{b,a}
(iii)
{a,e}
(iv)
{c,e}
(v)
{d,b,a}
Question
10
10.
With the data in the given figure, △HIK ≅ △HJL by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
11
11.
With the data in the given figure, △ODC ≅ △OBA by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
12
12.
With the data in the given figure, △TBC ≅ △UCB by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
13
13.
With the data in the figure, △EOF ≅ △GOH by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
SSS Congruency
Question
14
14.
With the data in the figure, △ADB ≅ △ADC by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
not congruent
Question
15
15.
In the given figure, △JHI is an isosceles triangle. GK ⟂ HI passing through J. △GJH ≅ △GJI by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
16
16.
With the data in the figure, △HIK ≅ △HJK by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
17
17.
Identify the property by which the two given triangles are congruent
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
Question
18
18.
With the data in the figure, △FGJ ≅ △GFK by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
19
19.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 3
(iii)
fig 1
(iv)
fig 2
Question
20
20.
In the given figure, points F , G and H are the mid-points of sides DE, EC and CD of △CDE. Which of the following are true?
a)
△CHG ≅ △FHG
b)
△HDF ≅ △CHG
c)
△CHG ≅ △GFE
d)
△CHG ≅ △FGH
e)
△HDF ≅ △FGH
(i)
{a,e,b}
(ii)
{a,b}
(iii)
{a,c}
(iv)
{a,d}
(v)
{b,c,d,e}
Question
21
21.
With the data in the figure, △CDF ≅ △DCE by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
22
22.
In the given figure, △EFG is an obtuse angled triangle. △EFH ≅ △GFH by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
SSS Congruency
Question
23
23.
With the data in the figure, △BCE ≅ △DCE by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
24
24.
With the data in the figure, △HKI ≅ △JKI by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
25
25.
With the data in the figure, △EHF ≅ △FGE by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Assignment Key
1) (ii)
2) (iii)
3) (v)
4) (iv)
5) (ii)
6) (v)
7) (v)
8) (i)
9) (iii)
10) (iv)
11) (iii)
12) (iv)
13) (iii)
14) (v)
15) (v)
16) (iv)
17) (ii)
18) (i)
19) (iii)
20) (v)
21) (ii)
22) (v)
23) (ii)
24) (iv)
25) (ii)
