Home
Class 12
MATHS
If the mid points of consecutive of a qu...

If the mid points of consecutive of a quadrilateral connected by straight lines prove that the resulting quadrilateral is a parallelogram.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If each diagonals of a quadrilateral separates it into two triangles of equal area then show that the quadrilateral is a parallelogram.

If each diagonals of a quadrilateral separates it into two triangles of equal area then show that the quadrilateral is a parallelogram.

Prove that the quadrilateral formed by joining the mid-points of the pairs of consecutive sides of a quadrilateral is a parallelogram.

If the mid-points of the sides of a quadrilateral are joined in order, prove that the area of the parallelogram, so formed will be half of the area of the given quadrilateral (figure).

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

If the diagonals of a quadrilateral bisect each other at right angle, then the quadrilateral is a (a) parallelogram (b) rectangle (c) rhombus (d) kite

If each diagonal of a quadrilateral separates it into two triangles of equal area then show that the quadrilateral is a parallelogram. GIVEN : A quadrilateral A B C D such that its diagonals A C and B D are such that a r( A B D)=a r( C D B ) and a r( A B C)=a r( A C D)dot TO PROVE: Quadrilateral A B C D is a parallelogram.

If the diagonals A C ,B D of a quadrilateral A B C D , intersect at O , and seqarate the quadrilateral into four triangles of equal area, show that quadrilateral A B C D is a parallelogram. GIVEN : A quadrilateral A B C D such that its diagonals A C and B D intersect at O and separate it into four parts such that a r( A O B)=a r( B O C)=a r( C O D)=a r( A O D) TO PROVE : Quadrilateral A B C D is a parallelogram.

If the diagonals A C ,\ B D of a quadrilateral A B C D , intersect at O , and separate the quadrilateral into four triangles of equal area, show that quadrilateral A B C D is a parallelogram.

E, F, G and H are the mid-points of the sides of a parallelogram ABCD. Show that area of quadrilateral EFGH is half of the area of parallelogram ABCD.