CBSE Class 9 Mathematics Triangles Assignment Set B

1 Given 'p' is the exterior angle of ΔPQR and 'q + r' is the sum of interior angles opposite to 'p: Which of the following is true?
(A) p + r = q
(B) p = q + r
(C) p + q = r
(D) r = q - p
Answer : B

2 Identify the interior opposite angles of the exterior angle ∠ACD of ΔABC.

(A) ∠B, ∠C
(B) ∠A, ∠C
(C) ∠A, ∠B
(D) ∠B, ∠D
Answer : C

3 A student is asked to draw a triangle whose angles are 90°, 90° and 20°. Which of the following is possible with the given measures?
(A) He can draw a right angled triangle.
(B) He can draw an equilateral triangle.
(C) He cannot draw any triangle.
(D) He can draw an obtuse angled triangle.
Answer : C

4 In the given figure, find the ratio ∠ABC : ACD.

(A) 1 : 1
(C) 1 : 2
(B) 2 : 1
(D) 3 : 1
Answer : B

5 In ΔABC, AD ⊥ BC and ∠B = ∠C By which property is ΔADB = ΔADC ?
(A) S.A.S. property
(B) S.S.S. property
(C) R.H.S. property
(D) A.S.A. property
Answer : D

6 An exterior angle of a triangle is 110° and one of the interior opposite angles is 30°.

Find the other two angles of the triangle.
(A) 80°, 70°
(B) 70°, 40°
(C) 110°, 40°
(D) 110°, 75°
Answer : A

7 One of the angles of a triangle is 75°. If the difference of the other two angles is 35°, what is the measure the largest angle of the triangle?
(A) 80°
(C) 100°
(B) 75°
(D) 100°
Answer : B

8 In the figure, if AB = CF, EF = BD and ∠AFE = ∠DBC, by which condition is ΔAFE congruent to ΔCBD ?

(A) S.A.S.
(B) S.S.S.
(C) A.S.A.
(D) R.H.S.
Answer : A

9 In the given figure, ΔABD = ΔACD, AB = AC, BD = CD.

By which criterion are the triangles congruent?
(A) S.S.S.
(B) R.H.S.
(C) S.A.S.
(D) A.S.A.
Answer : A

10 In the given figure, AD is the bisector of ∠A and AB = AC. By which crit erion are M BD and ΔACD congruent?

(i) s.s.s.
(ii) S.A.S.
(iii) A.S.A.
(iv) R.H.S
(A) (i) only.
(B) (ii), (iii) and (iv) only
(C) (i) and (iii)
(D) (ii) and (iv) only
Answer : B

11 In quadrilateral ACBD, AB is a diagonal. If AC = AD and AB bisects ∠A , by which congruence property is ΔACB ≅ ΔADB ?
(A) S.A.S.
(B) A.S.A.
(C) S.S.S.
(D) R.H.S .
Answer : A

12 In the given figure, ∠Q  < ∠P and ∠R < ∠S . Which of the following is true?

(A) S.S.S.
(B) A.S.A.
(C) S.A.S.
(D) R.H.S.

Answer 12: A

Answer 13: A

14 In ΔABC, AB = AC and AD is perpendicular to BC. State the property by which ΔADB ≅ ΔADC.
(A) S.A.S. property
(B) S.S.S. property
(C) R.H.S. property
(D) A.S.A. property
Answer : C

15 ΔABC is an isosceles triangle with AB = AC. If AD ⊥ BC, which of the following is true?
(A) ∠B > ∠C
(B) ∠B = ∠C
(C) ∠B < ∠C
(D) ∠A= ∠B = ∠C
Answer : B

16 By which congruence property, are the two triangles in the figure congruent?

(A) 60°
(B) 120°
(C) 90°
(D) 110°

Answer 16: B

Answer 17: B

Answer 18: C

Q 1 In figure, OA = OB and OD = OC.

Q 2 ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal. Show that

Q 3 AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects AB

Q 4 Triangle ABC is an isosceles triangle; CD is bisector to the base AB. Prove that the altitude, the bisector and the median to the base of triangle ABC match

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