CBSE Class 9 Mathematics Area of Parallelograms and Triangles Assignment Set C

Areas of Parallelograms and Triangles

Q 1 State true or false : A diagonal of a parallelogram divides it into two parts of equal areas.

Q 2 State true or false: Parallelograms on the same base and between the same parallels are equal in area.

Q 3 State true or false: A parallelogram and triangle on same base and between same parallel lines are equal in area.

Q 4 ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show ar(△ACB) = ar(△ACF).

Q 5 BD is one of the diagonal of a quadrilateral ABCD. AM and CN are the perpendiculars from A and C, respectively, on BD. Show that

Q 6 In fig. D and E are points on sides AB and AC respectively of △ABC such that ar(△ BCE) = ar(△ BCD). Show that DE || BC.

Q 7 Prove that of all the parallelograms of which the sides are given, the parallelogram which is rectangle has the greatest area.

Q 8 In figure, ∠RPQ = 90 , S is the mid-point of QR and SP= 2.5 cm. Compute the area of the triangle PQR.

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