International Maths Olympiad Forum By SOF Olympiad Trainer

Adiammu from RGS, USA

Subject :IMO Class : Class 7

In a triangle ABC, ∠A = 90° and D is the mid-point of AC. The value of BC2 - BD2 is equal to ______.

(A) AD2

(B) 2AD2

(C) 3AD2

(D) 4AD2

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Admin from revisewise, Noida

Class : Class 1

The correct answer is C.

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Adiammu from RGS, USA

Subject :IMO Class : Class 7

In ΔABC, AD ⊥ BC, ∠B = ∠C and AB = AC. State by which property ΔADB ΔADC ?

(A) SAS property

(B) SSS property

(C) RHS property

(D) ASA property

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Admin from revisewise, Noida

Class : Class 1

The correct answer is C.

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Adiammu from RGS, USA

Subject :IMO Class : Class 7

In ΔABC, ∠BAC = 90° and AD ⊥ BC. If ∠BAD = 40°, then ∠ACD is ______.

(A) 40°

(B) 50°

(C) 140°

(D) 60°

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Admin from revisewise, Noida

Class : Class 1

The correct answer is A.

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Adiammu from RGS, USA

Subject :IMO Class : Class 7

Which of the following statements is correct ?

A : Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other.

R : Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.

(A) A is false and R is the true

(B) A is true and R is the correct explanation of A

(C) A is true and R is false

(D) Both A and R are false

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Ans 1: (Master Answer)

Admin from revisewise, Noida

Class : Class 1

The correct answer is A.

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Adiammu from RGS, USA

Subject :IMO Class : Class 7

ABCD is a square. P is a point in its interior such that Δ PAB is equilateral. Then measure of ∠PCB is ______.

(A) 45°

(B) 30°

(C) 60°

(D) 75°

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Admin from revisewise, Noida

Class : Class 1

The correct answer is B.

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Adiammu from RGS, USA

Subject :IMO Class : Class 7

In ΔABC, AB = AC and AD is perpendicular bisector of BC. The property by which ΔADB is not congruent to ΔADC is ______.

(A) SAS property

(B) SSS property

(C) RHS property

(D) AAA property

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Ans 1: (Master Answer)

Admin from revisewise, Noida

Class : Class 1

The correct answer is D.

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Adiammu from RGS, USA

Subject :IMO Class : Class 7

Match the following.

(1)	Orthocentre	(A) The point of intersection of the perpendicular bisectors of the sides of a triangle
(2)	Centroid	(B) The point at which the three angle bisectors of a triangle meet
(3)	Circumcentre	(C) The point at which the altitudes of a triangle meet
(4)	Incentre	(D) The point at which the medians of a triangle meet