Page 70 - Mathematics Class - IX

MCQs

1. If one of the angles of a cyclic quadrilateral is 30°, the value of opposite angle is
a) 160° b) 120° c) 130° d) 150°

2. PQRS is a cyclic quadrilateral in which ∠PQR = 90°, the value of ∠PSR is
a) 90° b) 45° c) 70° d) None of these

3. Find the measure of the opposite angles of a cyclic quadrilateral, if one of them is 11/4 of the other
a) 48°, 132° b) 29°, 132° c) 48°, 264° d) None of these
4. If ABCD is a cyclic quadrilateral ∠A = 3x, ∠B = y, ∠C = x, ∠D = 5y, the values of x and y respectively are

a) 90°, 60° b) 90°, 30° c) 45°, 30° d) None of these
5. PQRS is a cyclic trapezium in which PS || QR. If ∠Q = 70°, the value of ∠P is

a) 70° b) 35° c) 110° d) 100°

Answers: 1. d) 150° 2. a) 90° 3. a) 48°, 132° 4. c) 45°, 30° 5. c) 110°

Case-Study Based Questions
Case-Study Based Questions
During math lab activity each student was given four broomsticks of lengths 6 cm, 6 cm, 5 cm and 5 cm to
make different types of quadrilaterals.

Answer the following questions on the basis of the above data.
1. How many quadrilaterals can be formed using these sticks?
(i) Only one type of quadrilateral can be formed.
(ii) Two types of quadrilateral can be formed.

(iii) Three types of quadrilateral can be formed.
(iv) Four types of quadrilateral can be formed.
2. Name the quadrilaterals formed.

(i) Rectangle, kite, square (ii) Square, parallelogram, rectangle
(iii) Rectangle, parallelogram, kite (iv) Square, kite, parallelogram
3. In a trapezium ABCD, AB||CD and ∠A = ∠B = 45°, the teacher asked the students to find ∠D

(i) 105° (ii) 135° D C
(iii) 130° (iv) 120°

A B

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