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WorksheetsChap-6 Triangles, Class-10. Formative assessment by Komal Koriya
Total questions: 20
Worksheet time: 10mins
Which of the following triangles have the same side lengths?
Scalene
Isosceles
Equilateral
None of these
Area of an equilateral triangle with side length a is equal to:
√3/2a
√3/2a2
√3/4 a2
√3/4 a
D and E are the midpoints of side AB and AC of a triangle ABC, respectively and BC = 6 cm. If DE || BC, then the length (in cm) of DE is:
2.5
3
5
6
The diagonals of a rhombus are 16 cm and 12 cm, in length. The side of rhombus in length is:
20 cm
8 cm
10 cm
9 cm
Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of small triangle is 48 sq cm then the area of large triangle is:
230 sq cm
106 sq cm
107 sq cm
108 sq cm
If perimeter of a triangle is 100 cm and the length of two sides are 30 cm and 40 cm, the length of third side will be:
30 cm
40 cm
50 cm
60 cm
If triangles ABC and DEF are similar and AB=4 cm, DE=6 cm, EF=9 cm and FD=12 cm, the perimeter of triangle is:
22 cm
20 cm
21 cm
18 cm
The height of an equilateral triangle of side 5 cm is:
4.33 cm
5 cm
4 cm
3.9 cm
If ABC and DEF are two triangles and AB/DE=BC/FD, then the two triangles are similar if
∠A=∠F
∠B=∠D
∠A=∠D
∠B=∠E
Sides of two similar triangles are in the ratio 4: 9. Areas of these triangles are in the ratio
2: 3
4: 9
81: 16
16: 81
Which of the following are not similar figures?
Circles
Squares
Equilateral triangles
Isosceles triangles
In triangle ABC, ∠BAC = 90° and AD ⊥ BC. Then
BD . CD = BC2
AB . AC = BC2
BD . CD = AD2
AB . AC = AD2
If in two triangles ABC and PQR, AB/QR = BC/PR = CA/PQ, then
ΔPQR ~ ΔCAB
ΔPQR ~ ΔABC
ΔCBA ~ ΔPQR
ΔBCA ~ ΔPQR
In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3 DE. Then, the two triangles are
congruent but not similar
similar but not congruent
neither congruent nor similar
congruent as well as similar
It is given that ΔABC ~ ΔPQR, with BC/QR = 1/4 then, ar(ΔPRQ)/ar(ABC) is equal to
16
4
1/6
1/16
It is given that ΔABC ~ ΔDFE, ∠A = 30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF = 7.5 cm. Then, the following is true:
DE = 12 cm, ∠F = 50°
DE = 12 cm, ∠F = 100°
EF = 12 cm, ∠D = 100°
EF = 12 cm, ∠D = 30°
If triangle ABC is similar to triangle DEF, then,
AB/FD = BC/EF = CA/DE
AB/DE = BC/DF = CA/EF
AB/DE = BC/EF = CA/FD
AB/BC = CA/DE = EF/FD
Which of the following is not a similarity criterion for two triangles?
AAA
SSS
SAS
ASA
The ratio of the areas of two similar triangles is equal to
square of the ratio of their corresponding sides
cube of the ratio of their corresponding sides
square root of the ratio of their corresponding sides
twice the ratio of their corresponding sides
In ∆ABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm. The angle B is
120°
60°
90°
45°
