Page 1 - IX Worksheet- 2 Ch 9
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SAI INTERNATIONAL SCHOOL


                                                 Sub: Mathematics

                                                       Class IX


               Worksheet-2


                Ch-9   Area of parallelograms and Triangles

               1. The mid-point of the sides of a triangle along with any of the vertices as the fourth
               point make a parallelogram of area equal to
               (a) ½ ar (ABC)                   (b) 1/3 ar (ABC)                         (c) ¼ ar (ABC)           (d) ar (ABC)

               2. Two parallelograms  are on equal bases and between the same parallels. The ratio
               of their areas is
               (a) 1 : 2              (b) 1 : 1                    (c) 2 : 1            (d) 3 : 1

               3. ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area,
               then ABCD
               (a) is a rectangle
               (b) is always a rhombus
               (c) is a parallelogram
               (d) need not be any of (a), (b) or (c)

               4. If a triangle and a parallelogram are on the same base and between same parallels,
               then the ratio of the area of the triangle to the area of parallelogram  is
               (a) 1 : 3                 (b) 1:2                          (c) 3 : 1                           (d) 1 : 4

               5. ABCD is a trapezium with parallel sides AB = a cm and DC = b cm. E and F are the
               mid-points of the non-parallel sides. The ratio of ar (ABFE) and ar (EFCD)is
               (a) a: b
               (b) (3a + b): (a + 3b)
               (c) (a + 3b): (3a + b)
               (d) (2a +b): (3a + b)


               Write whether True or False and justify your answer.(question  no. 6 to 10)
               6. ABCD is a parallelogram and X is the mid-point of AB. If ar (AXCD) = 24 cm , then ar
                                                                                            2
               (ABC) = 24 cm .
                              2

                7. PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 cm and A is any point
               on PQ. If PS = 5 cm, then ar (ΔPAS) = 30 cm .
                                                           2


               8. ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Then, ar
               (ΔBDE) = ¼ ar (ΔABC).
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