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This mock test of Test: Basic Proportionality Theorem for Class 10 helps you for every Class 10 entrance exam.
This contains 5 Multiple Choice Questions for Class 10 Test: Basic Proportionality Theorem (mcq) to study with solutions a complete question bank.
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QUESTION: 1

In the given fig, P and Q are points on the sides AB and AC respectively of Δ ABC such that AP = 3.5 cm, PB = 7 cm, AQ = 3 cm and QC = 6 cm. If PQ = 4.5 cm, find BC.

Solution:

Therefore, by converse of Basic Proportionality Theorem, we have QP || CB

Hence, ∆AQP ~ ∆ACB [Using AA similar condition]

∴

⇒

⇒

QUESTION: 2

If a triangle and a parallelogram are on the same base and between same parallels, then what is the ratio of the area of the triangle to the area of parallelogram?

Solution:

QUESTION: 3

ΔABC ~ ΔPQR, ∠B = 50° and ∠C = 70° then ∠P is equal to

Solution:

Similar triangles have corresponding angles equal. So Angle Q=Angle B = 50° and Angle R = Angle C = 70° . So by angle sum property, Angle P+Angle Q +Angle R = 180°

Angle P=180° - 50° - 70° = 60°

QUESTION: 4

Two congruent triangles are actually similar triangles with the ratio of corresponding sides as.

Solution:

QUESTION: 5

Which geometric figures are always similar?

Solution:

It can be found that circles map one onto another.So they are similar figures. A regular polygon is a polygon which has the same sides and equal measures of angles. So they are also similar.

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