EduSahara™ Worksheet

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, △KNL ≅ △MNL by which property?

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

SSS Congruency
(v)

ASA Congruency

Question 2

2.

With the given data in the figure, △QFG ≅ △PGF by which property?

(i)

ASA Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 3

3.

In the given figure, EFGH is a square and △TEF is an equilateral triangle. △THE ≅ △TGF by which property?

(i)

SAS Congruency
(ii)

not congruent
(iii)

SSS Congruency
(iv)

RHS Congruency
(v)

ASA Congruency

Question 4

4.

Which of the following are true?

a)	A semi-circle is a polygonal region.
b)	A square is a polygonal region.
c)	A sector is a polygonal region.
d)	A triangle is a polygonal region.
e)	A circle is a polygonal region.

(i)

{c,d,b}
(ii)

{e,a,b}
(iii)

{b,d}
(iv)

{a,b}
(v)

{c,d}

Question 5

5.

In the given figure, △ABC ≅ △STU. Which of the following are true?

a)	TU = 14 cm
b)	TU = 15 cm
c)	US = 12 cm
d)	US = 14 cm
e)	ST = 15 cm
f)	ST = 14 cm

(i)

{e,a,f}
(ii)

{b,c,f}
(iii)

{a,b}
(iv)

{d,b,c}
(v)

{d,c}

Question 6

6.

With the data in the given figure, △EFH ≅ △EGH by which property?

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 7

7.

Which of the following are true?

a)	Any two squares are congruent.
b)	Any two squares are similar.
c)	Any two circles are similar.
d)	Any two triangles are congruent.
e)	Any two circles are congruent.
f)	Any two triangles are similar.

(i)

{d,c}
(ii)

{a,b}
(iii)

{a,c,b}
(iv)

{b,c}
(v)

{e,f,b}

Question 8

8.

In the given figure, which of the following is true?

(i)

△BCD ≅ △RQP
(ii)

△BCD ≅ △QRP
(iii)

△BCD ≅ △PQR
(iv)

△BCD ≅ △RPQ
(v)

△CDB ≅ △PQR

Question 9

9.

Which of the following are true?

a)	Similar and congruent are not synonymous.
b)	If two figures are similar, then they are congruent too.
c)	Congruent figures have same area.
d)	Similar figures have same area.
e)	If two figures are congruent, then they are similar too.

(i)

{b,a}
(ii)

{b,d,e}
(iii)

{d,c}
(iv)

{a,c,e}
(v)

{b,a,c}

Question 10

10.

With the data in the figure, △FGI ≅ △FHI by which property?

(i)

ASA Congruency
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

not congruent
(v)

SSS Congruency

Question 11

11.

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,b}
(iii)

{c,d}
(iv)

{b,d}
(v)

{a,c,b}

Question 12

12.

In the given figure, △BCD ≅ △RQP. Which of the following are true?

a)	∠Q = 57°
b)	∠R = 73°
c)	∠P = 73°
d)	∠Q = 51°
e)	∠R = 57°
f)	∠P = 51°

(i)

{c,a}
(ii)

{e,c,f}
(iii)

{a,b,f}
(iv)

{d,b}
(v)

{d,a,b}

Question 13

13.

With the data in the figure, △FIG ≅ △FIH by which property?

(i)

ASA Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

RHS Congruency
(v)

SSS Congruency

Question 14

14.

With the data in the figure, △GHJ ≅ △KIJ by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 15

15.

With the data in the given figure, △OGF ≅ △OED by which property?

(i)

not congruent
(ii)

SAS Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

ASA Congruency

Question 16

16.

With the data in the given figure, △MHI ≅ △LIH by which property?

(i)

ASA Congruency
(ii)

not congruent
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

SSS Congruency

Question 17

17.

In the given figure, points L , M and N are the mid-points of sides JK, KI and IJ of △IJK. Which of the following are true?

a)

Area of trapezium JKMN is thrice the area of △INM

b)

All four small triangles have equal areas

c)

Area of △IJK = 4 times area of △LMN

d)

e)

(i)

{d,a,b}
(ii)

{d,a}
(iii)

{a,b,c}
(iv)

{d,e,c}
(v)

{e,b}

Question 18

18.

In the given figure, △FGH ≅ △SRQ. Which of the following are true?

a)	∠G = ∠R
b)	GH = RQ
c)	∠H = ∠Q
d)	∠F = ∠Q
e)	GH = SR

(i)

{e,b}
(ii)

{d,a,b}
(iii)

{d,a}
(iv)

{d,e,c}
(v)

{a,b,c}

Question 19

19.

With the data in the given figure, △HKI ≅ △HKJ by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

not congruent

Question 20

20.

With the given data in the figure, △IHK ≅ △JGK by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 21

21.

With the data in the figure, △ILJ ≅ △ILK by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 22

22.

With the data in the figure, △FIG ≅ △GHF by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

SAS Congruency
(iv)

not congruent
(v)

RHS Congruency

Question 23

23.

With the data in the figure, △MNQ ≅ △MOR by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

ASA Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 24

24.

With the data in the given figure, △ABD ≅ △ACE by which property?

(i)

not congruent
(ii)

SSS Congruency
(iii)

RHS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Question 25

25.

With the data in the given figure, △HKJ ≅ △HIJ by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

SAS Congruency
(v)

ASA Congruency

Assignment Key