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Opposite Sides in a Parallelogram Are Equal

28. ABCD is a...

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28. ABCD is a parallelogram and X and Y are the mid-points of BC and CD respectively. Prove that ar(Δ AXY)=3/8 ar(||gm ABCD).

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Q. Given a parallelogram

A B C D

X

Y

are the mid-points of the sides

B C

C D

respectively. Prove that :

a r (Δ A X Y) = \frac{3}{8} \times a r (/ / g m A B C D)

A B C D

is a parallelogram.

X a n d Y

are mid-points of

B C a n d C D

respectively. Then area

(Δ A X Y) = \frac{3}{k}

area(parallelogram

A B C D

A B C D

is a parallelogram

X

Y

are the mid points of

B C

C D

respectively. Then, ar(parallelogram

A B C D

Q. P, Q, R, S are respectively the midpoints of the sides AB, BC, CD and DA of ||gm ABCD. Show that PQRS is a parallelogram and also show that

a r (| | g m P Q R S) = \frac{1}{2} a r (| | g m A B C D)

□ A B C D

is a quadrilateral

P, Q, R, S

are the mid point of side

A B, B C, C D, A C

respectively. Prove that

□ P Q R S

is a parallelogram.

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Opposite Sides in a Parallelogram Are Equal

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