Page 1 - AREA AND PROPERTIES
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SAI International School
                                                      CLASS -IX

                                                            Mathematics


               CHAPTER-9(Area of Parallelograms and Triangles)

               HOME ASSIGNMENT–1


               1.   Which of the following is true for two figures having equal area?
                       (i) are always congruent       (ii) are never congruent      (iii) may or may not be congruent


               2.   In the figure P, Q and R are the mid-points of the sides AB, BC and AC respectively, which of
               the following is the area of APQR?
















               3.   If a triangle and a parallelogram are on the same base and between same parallels, then
               what is the ratio of the area of the triangle to the area of parallelogram?
                       (i) 1 : 2                  (ii) 3 : 2                            (iii) 1 : 3                          (iv) 4 : 1
               4.  If ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 10 cm, AE = 6 cm and CF = 5 cm,
               then AD is equal to:
               i. 10cm                                     ii.6cm                    iii. 12cm                          iv. 15cm

               5.  If ABCD and EFGH are two parallelograms between same parallel lines and on the same
               base, then:

               i. ar (ABCD) > ar (EFGH)                                            ii. ar (ABCD) < ar (EFGH)
               iii. ar (ABCD) = ar (EFGH)                                          iv. None of the above


               6. In the adjoining figure, two parallelograms ABCD and AEFB are drawn on opposite
               sides of AB. Prove that ar(parallelogram ABCD) + ar(parallelogram AEFB) =
               ar(parallelogram EFCD)









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