# NCERT Mathematics Class 9 Exemplar Ch 9 Areas of Parallelograms and Triangles Part 4

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**Exercise 9.2**

Q.1. ABCD is a parallelogram and X is the mid-point of AB. If are, then ar

Answer: False, since ar

Q.2. PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 cm. A is any point on PQ. If PS = 5 cm, then ar (PAS) = 30 cm^{2}.

Answer: True,, ar

Q.3. PQRS is a parallelogram whose area is 180 cm2 and A is any point on the diagonal QS. The area of ∆

Answer: False, because area of and area of area of

Q.4. ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Then ar

Answer: True, ar BDE =

ar ABC

Q.5. In Fig. 9.8, ABCD and EFGD are two parallelograms and G is the mid-point of CD. Then ar

Answer: False, because ar