# NCERT Mathematics Class 9 Exemplar Ch 8 Quadrilaterals Part 1

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**Exercise 8.1**

1. Three angles of a quadrilateral areand . The fourth angle is

(A)

(B)

(C)

(D)

Answer: D

2. A diagonal of a rectangle is inclined to one side of the rectangle at . The acute angle between the diagonals is

(A)

(B)

(C)

(D)

Answer: B

3. ABCD is a rhombus such that Then ∠ADB is

(A)

(B)

(C)

(D)

Answer: C

4. The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if

(A) PQRS is a rectangle

(B) PQRS is a parallelogram

(C) Diagonals of PQRS are perpendicular

(D) Diagonals of PQRS are equal.

Answer: C

5. The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rhombus, if

(A) PQRS is a rhombus

(B) PQRS is a parallelogram

(C) Diagonals of PQRS are perpendicular

(D) Diagonals of PQRS are equal.

Answer: D

6. If angles A, B, C and D of the quadrilateral ABCD, taken in order, are in the ratio, then ABCD is a

(A) rhombus

(B) Parallelogram

(C) Trapezium

(D) Kite

Answer: C