Question

D Q
CP
M
11. In the given figure, ABCD and ABPQ are two
parallelograms and Mis a point on AQ and BMP
is a triangle
Then, ar(ABMP) = a (Ilgm ABCD) is
(a) true
(b) false
inte
A
B
12 The midpoints of the id.​

Answer 1

Answer:

(a) True

Step-by-step explanation:

ABCD and ABPQ are on the same base and between the same parallel lines.

So, ar(parallelogram ABCD) = ​ar(parallelogram  ABPQ)               ...(i)

Now,  parallelogram ABPQ  and ∆BMP lie on the same base (BP) and between the same parallel lines.

So, ar(​∆BMP) = 1/2ar(ll gm ABPQ)

From equation(i), we have:

ar(​∆BMP) = 1/2ar(ll gm ABCD)

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