EduSahara™ Assignment
Name : Similarity of Triangles
Chapter : Similarity
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Identify the property by which the two given triangles are similar
(i)
SAS Similarity
(ii)
AAA Similarity
(iii)
not similar
(iv)
SSS Similarity
Question
2
2.
Identify the property by which the two given triangles are similar
(i)
not similar
(ii)
AAA Similarity
(iii)
SAS Similarity
(iv)
SSS Similarity
Question
3
3.
Identify the property by which the two given triangles are similar
(i)
SSS Similarity
(ii)
SAS Similarity
(iii)
not similar
(iv)
AAA Similarity
Question
4
4.
In the given figure, △FGH and △STU are such that
∠G
=
∠T
and
FG
ST
=
GH
TU
.
Identify the property by which the two triangles are similar
(i)
AAA Similarity
(ii)
SSS Similarity
(iii)
SAS Similarity
(iv)
not similar
Question
5
5.
In the given figure, △IJK and △UVW are such that
∠J
=
∠V
and
∠K
=
∠W
.
Identify the property by which the two triangles are similar
(i)
not similar
(ii)
SSS Similarity
(iii)
AAA Similarity
(iv)
SAS Similarity
Question
6
6.
In the given figure, △BCD and △RST are such that
BC
RS
=
CD
ST
=
DB
TR
.
Identify the property by which the two triangles are similar
(i)
AAA Similarity
(ii)
SAS Similarity
(iii)
not similar
(iv)
SSS Similarity
Question
7
7.
In the given figure, BCDE is a trapezium in which
BC ∥ DE
and the diagonals
CE
and
BD
intersect at
F
.
△FBC
∼
(i)
△FEB
(ii)
△FDE
(iii)
△FCD
(iv)
△CDE
(v)
△EBC
Question
8
8.
In the given figure, the altitudes RF and GS of △EFG meet at Q. △RGQ ∼
(i)
△RGF
(ii)
△QSR
(iii)
△QFG
(iv)
△SFG
(v)
△SFQ
Question
9
9.
In the given figure, PQ ∥ CD , and median BE bisects PQ.
△BPF ∼
(i)
△CDB
(ii)
△BFQ
(iii)
△BED
(iv)
△BCD
(v)
△BCE
Question
10
10.
Which of the following are true?
a)
Any two squares are similar.
b)
Any two circles are similar.
c)
Any two triangles are congruent.
d)
Any two squares are congruent.
e)
Any two circles are congruent.
f)
Any two triangles are similar.
(i)
{c,b,a}
(ii)
{e,f,a}
(iii)
{a,b}
(iv)
{d,b}
(v)
{c,a}
Question
11
11.
Which of the following are true?
a)
A semi-circle is a polygonal region.
b)
A circle is a polygonal region.
c)
A sector is a polygonal region.
d)
A triangle is a polygonal region.
e)
A square is a polygonal region.
(i)
{b,e}
(ii)
{b,e,d}
(iii)
{d,e}
(iv)
{c,a,d}
(v)
{a,d}
Question
12
12.
Which of the following are true?
a)
Congruent figures have same area.
b)
Similar and congruent are not synonymous.
c)
Similar figures have same area.
d)
If two figures are similar, then they are congruent too.
e)
If two figures are congruent, then they are similar too.
(i)
{c,d,e}
(ii)
{c,a}
(iii)
{a,b,e}
(iv)
{d,b}
(v)
{c,a,b}
Question
13
13.
Which of the following are true?
a)
Area of the union of two polygonal region is the sum of the individual area.
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)
A polygonal region can be divided into a finite number of triangles in a unique way.
(i)
{b,c}
(ii)
{a,d,b}
(iii)
{a,b}
(iv)
{d,c}
(v)
{a,c,b}
Question
14
14.
Which of the following are necessary conditions for similarity of two polygons ?
a)
The corresponding sides are equal.
b)
The corresponding sides are proportional.
c)
The corresponding angles are equal.
d)
The corresponding angles are proportional.
(i)
{a,b}
(ii)
{d,c}
(iii)
{a,d,b}
(iv)
{a,c,b}
(v)
{b,c}
Question
15
15.
Which of the following are true?
a)
Similarity is symmetric.
b)
Similarity is reflexive.
c)
Similarity is transitive.
d)
Similarity is anti symmetric.
(i)
{d,c}
(ii)
{d,b}
(iii)
{d,a}
(iv)
{d,a,b}
(v)
{a,b,c}
Question
16
16.
Which of the following are true?
a)
Any two quadrilaterals are similar if the corresponding angles are equal.
b)
Any two triangles are similar if the corresponding angles are equal.
c)
Any two quadrilaterals are similar if the corresponding sides are proportional.
d)
Any two triangles are similar if the corresponding sides are proportional.
(i)
{a,b}
(ii)
{a,b,c}
(iii)
{b,c,d}
(iv)
{a,d}
(v)
{a,c}
Question
17
17.
In the given two similar triangles, if h = 18 cm, i = 15 cm, j = 15 cm, m = 9 cm, find k
(i)
11.80 cm
(ii)
10.80 cm
(iii)
9.80 cm
(iv)
12.80 cm
(v)
8.80 cm
Question
18
18.
In the given figure, if GH ∥ IJ then
(i)
△KGH ∼ △KIJ
(ii)
△KHG ∼ △KJI
(iii)
△GHK ∼ △KJI
(iv)
△GHK ∼ △JIK
(v)
△GHK ∼ △KIJ
Question
19
19.
In the given figure, points K , L and M are the mid-points of sides IJ, JH and HI of △HIJ. Which of the following are true?
a)
△KLM ∼ △HIJ
b)
△MIK ∼ △HIJ
c)
△KML ∼ △HIJ
d)
△HML ∼ △HIJ
e)
△LKJ ∼ △HIJ
(i)
{c,b}
(ii)
{c,a}
(iii)
{c,d}
(iv)
{c,e,a}
(v)
{a,b,d,e}
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (iii)
5) (iii)
6) (iv)
7) (ii)
8) (v)
9) (v)
10) (iii)
11) (iii)
12) (iii)
13) (i)
14) (v)
15) (v)
16) (iii)
17) (ii)
18) (iv)
19) (v)
