EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Congruency of Triangles
Grade : SSC Grade VII
License : Non Commercial Use
Question
1
1.
With the data in the figure, △GOH ≅ △JOI by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SAS Congruency
(v)
ASA Congruency
Question
2
2.
In the given figure, △FGH ≅ △VUT. Which of the following are true?
a)
∠G = ∠U
b)
GH = UT
c)
∠F = ∠T
d)
GH = VU
e)
∠H = ∠T
(i)
{c,a,b}
(ii)
{a,b,e}
(iii)
{d,b}
(iv)
{c,a}
(v)
{c,d,e}
Question
3
3.
With the data in the figure, △EGH ≅ △EGF by which property?
(i)
not congruent
(ii)
SAS Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
4
4.
In the given figure, points N , O and P are the mid-points of sides LM, MK and KL of △KLM. Which of the following are true?
a)
△PLN ≅ △KPO
b)
△KPO ≅ △ONM
c)
△KPO ≅ △NOP
d)
△KPO ≅ △NPO
e)
△PLN ≅ △NOP
(i)
{d,c}
(ii)
{d,a}
(iii)
{d,b}
(iv)
{a,b,c,e}
(v)
{d,e,a}
Question
5
5.
With the data in the given figure, △PEF ≅ △QFE by which property?
(i)
ASA Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
SSS Congruency
(v)
SAS Congruency
Question
6
6.
In the given figure, which pair of triangles are not congruent ?
(i)
fig 4
(ii)
fig 2
(iii)
fig 1
(iv)
fig 3
Question
7
7.
With the data in the figure, △GHJ ≅ △IHJ by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
8
8.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
RHS Congruency
(iv)
SSS Congruency
Question
9
9.
With the data in the given figure, △BCE ≅ △BDF by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
RHS Congruency
Question
10
10.
With the data in the figure, △EOF ≅ △GOH by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
ASA Congruency
(iv)
SSS Congruency
(v)
RHS Congruency
Question
11
11.
With the given data in the figure, △UHI ≅ △TIH by which property?
(i)
not congruent
(ii)
ASA Congruency
(iii)
SSS Congruency
(iv)
RHS Congruency
(v)
SAS Congruency
Question
12
12.
With the data in the figure, △HIK ≅ △IHJ by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
RHS Congruency
(v)
ASA Congruency
Question
13
13.
With the data in the figure, △IOJ ≅ △KOL by which property?
(i)
SSS Congruency
(ii)
RHS Congruency
(iii)
not congruent
(iv)
SAS Congruency
(v)
ASA Congruency
Question
14
14.
With the data in the given figure, △EHF ≅ △EHG by which property?
(i)
SAS Congruency
(ii)
ASA Congruency
(iii)
not congruent
(iv)
SSS Congruency
(v)
RHS Congruency
Question
15
15.
In the given figure, EFGH is a square and △TEF is an equilateral triangle. △THE ≅ △TGF by which property?
(i)
ASA Congruency
(ii)
SSS Congruency
(iii)
SAS Congruency
(iv)
not congruent
(v)
RHS Congruency
Question
16
16.
With the data in the figure, △KNL ≅ △KNM by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
not congruent
Question
17
17.
With the data in the figure, △KLO ≅ △KMP by which property?
(i)
not congruent
(ii)
RHS Congruency
(iii)
SAS Congruency
(iv)
ASA Congruency
(v)
SSS Congruency
Question
18
18.
With the data in the figure, △CDF ≅ △GEF by which property?
(i)
RHS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
not congruent
(v)
SAS Congruency
Question
19
19.
With the data in the figure, △GJH ≅ △HIG by which property?
(i)
SSS Congruency
(ii)
not congruent
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Question
20
20.
With the data in the figure, △CDF ≅ △DCE by which property?
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Question
21
21.
Identify the property by which the two given triangles are congruent
(i)
SAS Congruency
(ii)
SSS Congruency
(iii)
ASA Congruency
(iv)
RHS Congruency
Question
22
22.
With the data in the given figure, △MNP ≅ △ONP by which property?
(i)
SAS Congruency
(ii)
not congruent
(iii)
SSS Congruency
(iv)
ASA Congruency
(v)
RHS Congruency
Question
23
23.
With the data in the figure, △CFD ≅ △CFE by which property?
(i)
SSS Congruency
(ii)
SAS Congruency
(iii)
not congruent
(iv)
RHS Congruency
(v)
ASA Congruency
Question
24
24.
Which of the following are true?
a)
Area of the union of two polygonal region is the sum of the individual area.
b)
A polygonal region can be divided into a finite number of triangles in a unique way.
c)
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.
d)
Area of the union of two polygonal region is not equal to the sum of the individual area.
(i)
{c,d}
(ii)
{b,d}
(iii)
{a,d,c}
(iv)
{a,b,c}
(v)
{a,c}
Question
25
25.
With the data in the given figure, △BDC ≅ △CEB by which property?
(i)
not congruent
(ii)
SSS Congruency
(iii)
RHS Congruency
(iv)
ASA Congruency
(v)
SAS Congruency
Assignment Key
1) (ii)
2) (ii)
3) (i)
4) (iv)
5) (v)
6) (iv)
7) (iv)
8) (iv)
9) (i)
10) (ii)
11) (iv)
12) (i)
13) (iii)
14) (iv)
15) (iii)
16) (v)
17) (i)
18) (iv)
19) (ii)
20) (iii)
21) (i)
22) (ii)
23) (iii)
24) (i)
25) (iii)
