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, △CDF ≅ △CEG by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
2
2.
Which of the following are true?
a)
If two figures are similar, then they are congruent too.
b)
Congruent figures have same area.
c)
If two figures are congruent, then they are similar too.
d)
Similar and congruent are not synonymous.
e)
Similar figures have same area.
(i)
{a,e,d}
(ii)
{a,b}
(iii)
{a,b,c}
(iv)
{e,c}
(v)
{b,c,d}
Question
3
3.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
Question
4
4.
With the data in the figure, △FIG ≅ △HIG by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Question
5
5.
With the data in the given figure, △OPR ≅ △QPR by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SAS Congruency
(iv)
SSS Congruency
(v)
ASA Congruency
Question
6
6.
With the data in the given figure, △PBC ≅ △QCB by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
7
7.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
Question
8
8.
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 the sum of the individual area.
d)
Area of the union of two polygonal region is not equal to the sum of the individual area.
(i)
{a,d,b}
(ii)
{a,c,b}
(iii)
{c,d}
(iv)
{a,b}
(v)
{b,d}
Question
9
9.
With the data in the given figure, △IJM ≅ △IKL by which property?
(i)
ASA Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
10
10.
In the given figure, △ABC ≅ △VUT. Which of the following are true?
a)
∠T = 58°
b)
∠U = 58°
c)
∠V = 46°
d)
∠T = 46°
e)
∠V = 77°
f)
∠U = 77°
(i)
{e,b,f}
(ii)
{a,c,f}
(iii)
{d,c}
(iv)
{d,a,c}
(v)
{b,a}
Question
11
11.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 3
(ii)
fig 1
(iii)
fig 2
(iv)
fig 4
Question
12
12.
In the given figure, JKLM is a square and △QJK is an equilateral triangle. △QMJ ≅ △QLK by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
SAS Congruency
(v)
RHS Congruency
Question
13
13.
With the given data in the figure, △MLO ≅ △NKO by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
RHS Congruency
Question
14
14.
With the given data in the figure, △GHI ≅ △IJG by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
ASA Congruency
(v)
RHS Congruency
Question
15
15.
Identify the property by which the two given triangles are congruent
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
Question
16
16.
With the data in the figure, △FIG ≅ △FIH by which property?
(i)
RHS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
SSS Congruency
Question
17
17.
In the given figure, △IGH is an isosceles triangle. FJ ⟂ GH passing through I. △FIG ≅ △FIH by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
RHS Congruency
(iv)
not congruent
(v)
ASA Congruency
Question
18
18.
With the data in the figure, △CEF ≅ △CED by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
not congruent
Question
19
19.
In the given figure, points E , F and G are the mid-points of sides CD, DB and BC of △BCD. Which of the following are true?
a)
△BGF ≅ △EGF
b)
△GCE ≅ △BGF
c)
△BGF ≅ △FED
d)
△BGF ≅ △EFG
e)
△GCE ≅ △EFG
(i)
{a,c}
(ii)
{a,b}
(iii)
{a,d}
(iv)
{b,c,d,e}
(v)
{a,e,b}
Question
20
20.
With the data in the figure, △GOH ≅ △IOJ by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
21
21.
In the given figure, which of the following is true?
(i)
△DEF ≅ △WVU
(ii)
△DEF ≅ △VWU
(iii)
△DEF ≅ △WUV
(iv)
△EFD ≅ △UVW
(v)
△DEF ≅ △UVW
Question
22
22.
With the data in the figure, △ILJ ≅ △ILK by which property?
(i)
RHS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
23
23.
With the data in the given figure, △NOQ ≅ △PQO by which property?
(i)
RHS Congruency
(ii)
SAS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SSS Congruency
Question
24
24.
Identify the property by which the two given triangles are congruent
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
Question
25
25.
With the data in the figure, △BCE ≅ △DCE by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Assignment Key
1) (ii)
2) (v)
3) (iv)
4) (iii)
5) (ii)
6) (iii)
7) (iv)
8) (v)
9) (v)
10) (ii)
11) (iv)
12) (iv)
13) (i)
14) (iv)
15) (iii)
16) (iii)
17) (ii)
18) (v)
19) (iv)
20) (v)
21) (v)
22) (ii)
23) (iv)
24) (iv)
25) (i)
