CBSE Class 9 Maths Quadrilaterals MCQs Set 02

Question. A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle between the diagonals is
(a) 55°
(b) 50°
(c) 40°
(d) 25° 
Answer: b

Question. The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only if,
(a) ABCD is a rhombus
(b) diagonals of ABCD are equal
(c) diagonals of ABCD are equal and perpendicular
(d) diagonals of ABCD are perpendicular 
Answer: c

Question. Which of the following is not true for a parallelogram?
(a) opposite sides are equal
(b) opposite angles are equal
(c) opposite angles are bisected by the diagonals
(d) diagonals bisect each other
Answer: c

Question. D and E are the midpoints of the sides AB and AC, respectively of ABC. DE is produced to F. To prove that CF is equal and parallel to DA, we need additional information which is
(a) ∠DAE = ∠EFC
(b) AE = EF
(c) DE = EF
(d) ∠ADE = ∠ECF 
Answer: c

Question. In the adjoining figure, ABCD is a parallelogram in which ∠BAD = 75° and ∠CBD = 60°, then ∠BDC is:
(a) 75°
(b) 50°
(c) 45°
(d) 60°
Answer: c

Case-based MCQs

Read the following text and answer the questions given below:
Maths teacher of class 9th gave students coloured paper in the shape of quadrilateral and then ask the students to make parallelogram from it by using paper folding.

And ask the students to answer the following :

Question. If ∠RSP = 50°, then ∠SPQ = 
(a) 130°
(b) 120°
(c) 110°
(d) 100°
Answer: a

Question. Which statement is incorrect about the parallelogram ?
(a) Consecutive angles are supplementary
(b) Opposites sides are parallel
(c) Diagonals bisect each other
(d) Diagonals are equal in length. 
Answer: d

Question. How can a parallelogram be formed by using paper folding ?
(a) By joining any two vertices
(b) By joining one pair of opposite vertices.
(c) By joining mid points of sides of a quadrilateral
(d) None of the above
Answer: c

Question. If SP = 3 cm, then RQ =
(a) 4 cm
(b) 2 cm
(c) 3 cm
(d) 5 cm
Answer: c

Question. If ∠RSP = 30°, then ∠RQP =
(a) 150°
(b) 80°
(c) 50°
(d) 30° 
Answer: d

Read the following text and answer the questions given below:

ABCD is a village in quadrilateral shaped. The Panchayat has decided to use the triangular area APD for girl's education by constructing schools and colleges specially for girls as shown below.

But members of Panchayat have some queries. Answer the following queries:

Question. If ∠BCE =
(a) 45°
(b) 40°
(c) 60°
(d) 90° 
Answer: d

Question. If ∠PAD = 30° and ∠PDA = 60° then what is the measure of ∠APD?
(a) 45°
(b) 90°
(c) 30°
(d) 40°
Answer: b

Question. If AP || BE then what is sum of ∠BAP and ∠ABE ?
(a) 180°
(b) 90°
(c) 60°
(d) 40° 
Answer: a

Question. If ABCD is a rectangle and AP and DP are the angular bisector of ∠BAD and ∠CDA respectively, then what are the measure of ∠PAD and ∠PDA ?
(a) 30°, 30°
(b) 30°, 60°
(c) 45°, 45°
(d) 40°, 45° 
Answer: c

Question. If BC = CE = 10 km then find BE.
(a) 10√2 km
(b) √2 km
(c) 3√2 km
(d) 2√2 km 
Answer: a