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ICSE Grade IX - Similarity
Question
1
1.
In the given figure, ST ∥ JK , and median IL bisects ST.
If IJ = 20 cm, IL = 20 cm and IS = 8 cm, ML =
13.00 cm
12.00 cm
14.00 cm
10.00 cm
11.00 cm
Question
2
2.
In the given figure, F and G are points on the sides CD and CE respectively of △CDE.For which of the following cases, FG ∥ DE
a)
CD = 17 cm, FD = 9.44 cm, CG = 10.89 cm and CE = 20 cm
b)
CD = 17 cm, CF = 9.56 cm, CE = 20 cm and GE = 11.11 cm
c)
CD = 17 cm, FD = 9.44 cm, CE = 20 cm and CG = 8.89 cm
d)
CF = 7.56 cm, FD = 9.44 cm, CG = 8.89 cm and GE = 11.11 cm
{c,d}
{b,d}
{a,c}
{a,d,c}
{a,b,c}
Question
3
3.
A triangle having an area 70.99 sq.cm is enlarged by a scale factor of 1.29. Find the area of its image.
120.14 sq.cm
103.14 sq.cm
96.14 sq.cm
142.14 sq.cm
118.14 sq.cm
Question
4
4.
Which of the following are true?
a)
A sector is a polygonal region.
b)
A circle is a polygonal region.
c)
A triangle is a polygonal region.
d)
A semi-circle is a polygonal region.
e)
A square is a polygonal region.
{b,e}
{c,e}
{a,c}
{d,a,c}
{b,e,c}
Question
5
5.
In the given figure, △GHI and △PQR are such that
∠H
=
∠Q
and
∠I
=
∠R
.
Identify the property by which the two triangles are similar
not similar
SAS Similarity
SSS Similarity
AAA Similarity
Question
6
6.
The measurements of a triangular field △ABC are BC = 15 cm, AB = 6 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 16000. Calculate the actual length of CA in km.
3.58 km
4.58 km
0.58 km
1.58 km
2.58 km
Question
7
7.
In the given figure, QR ∥ HI and GI = 21 cm, QR = 15 cm and HI = 25 cm, find GR
13.6 cm
12.6 cm
14.6 cm
11.6 cm
10.6 cm
Question
8
8.
In the given figure, EFG is a triangle and 'O' is a point inside △EFG. The angular bisector of ∠FOE, ∠GOF & ∠EOG meet EF, FG & GE at H, I & J respectively . Then
EH . FI . GJ = HI . IJ . JH
EH . FI . GJ = OE . OF . OG
EH . FI . GJ = EF . FG . GE
EH . FI . GJ = OH . OI . OJ
EH . FI . GJ = HF . IG . JE
Question
9
9.
In the given two similar triangles, if n = 16 cm, o = 20 cm, p = 16 cm, q = 9.6 cm, find r
14.00 cm
12.00 cm
11.00 cm
10.00 cm
13.00 cm
Question
10
10.
In the given figure, the altitudes SD and ET of △CDE meet at R. ∠DRT =
∠SRE
∠ESR
∠RTD
∠TDR
∠RES
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