EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Triangles
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
With the data in the figure, △LOM ≅ △LON by which property?
(i)
SSS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
2
2.
With the data in the figure, △CEF ≅ △ECD by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
SAS Congruency
Question
3
3.
With the data in the given figure, △GBC ≅ △FCB by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
4
4.
With the given data in the figure, △VHI ≅ △UIH by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
5
5.
In the given figure, points M , N and O are the mid-points of sides KL, LJ and JK of △JKL. Which of the following are true?
a)
Area of
△JKL
=
1
3
area of
△MNO
b)
Area of trapezium KLNO is thrice the area of △JON
c)
Area of trapezium
KLNO
is
1
4
the area of
△JKL
d)
All four small triangles have equal areas
e)
Area of △JKL = 4 times area of △MNO
(i)
{c,d}
(ii)
{b,d,e}
(iii)
{a,b}
(iv)
{a,b,d}
(v)
{a,c,e}
Question
6
6.
Which of the following are true?
a)
A polygonal region can be divided into a finite number of triangles in a unique way.
b)
Area of a convex polygonal region is equal to the sum of the areas of all triangles formed by joining the vertices of the polygon with an interior point.
c)
Area of the union of two polygonal region is not equal to the sum of the individual area.
d)
Area of the union of two polygonal region is the sum of the individual area.
(i)
{b,c}
(ii)
{a,c,b}
(iii)
{a,d,b}
(iv)
{d,c}
(v)
{a,b}
Question
7
7.
In the given figure, which of the following is true?
(i)
△DEF ≅ △RQP
(ii)
△DEF ≅ △PQR
(iii)
△DEF ≅ △QRP
(iv)
△EFD ≅ △PQR
(v)
△DEF ≅ △RPQ
Question
8
8.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 1
(iii)
fig 2
(iv)
fig 3
Question
9
9.
With the data in the given figure, △PQS ≅ △QPR by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
10
10.
With the data in the figure, △LOM ≅ △NOM by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
11
11.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
Question
12
12.
With the data in the given figure, △EHF ≅ △EHG by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
13
13.
With the data in the given figure, △MON ≅ △NPM by which property?
(i)
SAS Congruency
(ii)
RHS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
14
14.
With the data in the figure, △DOE ≅ △FOG by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
15
15.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 2
(iii)
fig 1
(iv)
fig 4
Question
16
16.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
Question
17
17.
With the data in the given figure, △EOF ≅ △EOG by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
18
18.
With the data in the figure, △GJH ≅ △HIG by which property?
(i)
ASA Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
SAS Congruency
Question
19
19.
In the given figure, △EFG ≅ △VUT. Which of the following are true?
a)
∠E = ∠T
b)
∠F = ∠U
c)
FG = VU
d)
∠G = ∠T
e)
FG = UT
(i)
{a,c,e}
(ii)
{a,b}
(iii)
{a,b,d}
(iv)
{c,d}
(v)
{b,d,e}
Question
20
20.
With the given data in the figure, △LKN ≅ △MJN by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
21
21.
With the data in the figure, △DEG ≅ △EDF by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
22
22.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
Question
23
23.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A triangle is a polygonal region.
c)
A sector is a polygonal region.
d)
A square is a polygonal region.
e)
A circle is a polygonal region.
(i)
{c,d,b}
(ii)
{e,a,b}
(iii)
{b,d}
(iv)
{c,d}
(v)
{a,b}
Question
24
24.
With the data in the given figure, △HIK ≅ △HJK by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
SSS Congruency
Question
25
25.
In the given figure, △EFG ≅ △TSR. Which of the following are true?
a)
∠S = 43°
b)
∠R = 43°
c)
∠T = 88°
d)
∠S = 88°
e)
∠T = 49°
f)
∠R = 49°
(i)
{b,d,e}
(ii)
{a,b}
(iii)
{f,a,e}
(iv)
{c,b,d}
(v)
{c,d}
Assignment Key
1) (iv)
2) (iii)
3) (v)
4) (iii)
5) (ii)
6) (i)
7) (ii)
8) (iii)
9) (i)
10) (iv)
11) (iv)
12) (iv)
13) (ii)
14) (i)
15) (iii)
16) (ii)
17) (iii)
18) (iii)
19) (v)
20) (iv)
21) (ii)
22) (iii)
23) (iii)
24) (iv)
25) (i)
