Class IX Math Quadrilateral

                                                 Class-- IX 

                                                 Math  ( Quadrilateral)

                                     MULTIPLE CHOICE QUESTIONS

1.A diagonal of a rectangle is inclined to one side of the rectangle at 25°, The acute angle beiween the

diagonals 

(a) 55°                (b) 50°                             (c) 40°                     (d) 60°

2.  ABCD is a rhombus such that angle ACB =40°. Then angle ADB is

(a) 40°          (b) 45°                          (c) 50°                             (d) 60°

3.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

4.If angles A, B,C and D of the quadrilateral ABCD, taken in order, are in the ratio 3 : 7 : 6 : 4, then

ABCD is a

(a) rhombus           (b) parallelogram                 (c) trapezium          (d) kite

5.If bisectors of angle A and angle B of a quadrilateral ABCD intersect each other at P of angle B and angle C at Q, of  angle C and angle D at R and of angle D and angle A at S, then PQRS is a

(a) rectangle                 (b) rhombus       (c) parallelogram

(d) quadrilateral whose opposite angles are supplementary

6.The figure obtained by joining the mid-points of the sides of a rhombus, taken in order, is

(a) a rhombus         (b) a rectangle        (c) a square                      (d) any parallelogram

7. The figure formed by joining the mid-points of the side 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

8. The diagonals AC and BD of a parallelogram ABCD intersect each other at point O. If angle DAC=32° and angle AOB=70°, then  angle DBC is equal to

(a) 24°                  (b) 86°      (c) 38°                  (d) 32°

9.D and E are the mid-points of the sides AB and AC respectively of  triangle ABC, DE is produced to F. To  prove that CF is equal and parallel to DA, we need an additional information which is

(a) angle DAE = angle EFC          (b) AE = EF             (c) DE = EF       (d) angle ADE = angle 


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