AI 10. If E, F, G and H are the mid-points of sides of a parallelogram ABCD
points of sides of a parallelogram ABCD then ar (EFGH) =
G
C
B
(b) 1/3ar (ABCD)
(a) ar(ABCD)
(c) 1/2ar(ABCD)
(d)1/4ar(ABCD)
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Answer:
(c) 1/2 ar( ABCD)
Step-by-step explanation:
When we join the mid points together they form triangles which are congruent to each other.
using congruent rules they can be proved congruent .
they form 8 congruent triangles out of which four are present inside EFGH.
so ar(EFGH)=4/8 ar(ABCD)
=1/2 ar(ABCD)
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