Question

1. In Fig. 9.15, ABCD is a parallelogram, AE ⊥ DC

and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and

CF = 10 cm, find AD.

2. If E,F,G and H are respectively the mid-points of

the sides of a parallelogram ABCD, show that

ar (EFGH) =

1

ar (ABCD) 2 .

3. P and Q are any two points lying on the sides DC and AD respectively of a parallelogram

ABCD. Show that ar (APB) = ar (BQC).

4. In Fig. 9.16, P is a point in the interior of a

parallelogram ABCD. Show that

(i) ar (APB) + ar (PCD) =

1

ar (ABCD) 2

(ii) ar (APD) + ar (PBC) = ar (APB) + ar (PCD)

[Hint : Through P, draw a line parallel to AB.]

5. In Fig. 9.17, PQRS and ABRS are parallelograms

and X is any point on side BR. Show that

(i) ar (PQRS) = ar (ABRS)

(ii) ar (AX S) =

1

ar (PQRS) 2

Fig. 9.15

Fig. 9.16

Fig. 9.17

$<marquee>answer \: it$
​

Answer 1

please please please mark me as brainliest and thanks if it helped you

good day

please follow me guys

Answer 2

Answer:

$<font color ="red"><marquee>$

plz mark my answer as brainliest