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This mock test of Test: Areas Of Similar Triangles for Class 10 helps you for every Class 10 entrance exam.
This contains 10 Multiple Choice Questions for Class 10 Test: Areas Of Similar Triangles (mcq) to study with solutions a complete question bank.
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QUESTION: 1

In similar triangles ABC and DEF, AG and DH are the medians. What is the value of AG/DH given that

Solution:

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides. So Also

ΔABGand ΔDEFare also similar triangles , since , so by SAS criterion they are similar.And we know ratios of sides is ⅝ , so AG/DH=5/8

QUESTION: 2

ΔABC ~ ΔPQR . If ar (ΔABC) = 2.25 m^{2}, ar (ΔPQR) = 6.25 m^{2}, PQ = 0.5 m, then length of AB is:

Solution:

QUESTION: 3

Triangle ABC is similar to triangle DEF and their areas are 64 cm^{2} and 121 cm^{2 }respectively. If EF = 15.4 cm, then BC = ?

Solution:

By Similar Triangle Theorem we get,

By taking square roots of both sides,

BC=11.2

QUESTION: 4

In ΔDEF and ΔPQR, ∠D = 30°, ∠P = 30°, ∠E = 50°, ∠Q = 50° DE = 7 cm, PQ = 13cm = ?

Solution:

QUESTION: 5

The ratio of the areas of two similar triangles is equal to the:

Solution:

QUESTION: 6

Triangle ABC is similar to triangle DEF and their areas are respectively 64 cm^{2}and 121 cm^{2}. If EF = 15.4 cm, then BC =

Solution:

QUESTION: 7

Two similar triangles ABC and DEF are such that, AB = 5cm, DE = 12cm, then

Solution:

QUESTION: 8

Two similar triangles ABC and EDF are such that

Which of the following is true?

Solution:

QUESTION: 9

Sides of two similar triangles are in the ratio 4: 9. What is the ratio of the area of these triangles?

Solution:

QUESTION: 10

Two similar triangles ABC and DEF are such that . What is the ratio of their corresponding sides?

Solution:

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