If B is the mid point of AC and C is the mid point of BD, where A,B,C,D lie on a straight line, say why

If B is the mid point of AC and C is the mid point of BD, whereA,B,C,D lie on a straight line,say why AB=CD?

A B C D is a square. E is the mid-point of B C and F is the mid-point of C D . The ratio of the area of triangle A E F to the area of the square A B C D is (a) 1 : 2 (b) 1 : 3 (c) 1 : 4 (d) 3 : 8

Mid point of a line Segment

A B C is a triangle in which D is the mid-point of B C and E is the mid-point of A Ddot Prove that area of B E D=1/4a r e aof A B Cdot GIVEN : A A B C ,D is the mid-point of B C and E is the mid-point of the median A Ddot TO PROVE : a r( B E D)=1/4a r( A B C)dot

In the given figure, D is the mid-point of BC, E is the mid-point of BD and O is the mid-point of AE. Find the ratio of area of Delta BOE and DeltaABC

A(a+1, a-1), B(a^(2)+1, a^(2)-1) and C(a^(3)+1,a^(3)-1) are given points. D (11, 9) is the mid point of AB and E (41, 39) is the mid point of BC. If F is the mid point of AC then (BF)^(2) is equal to K^(2) , where K =

D is the mid-point of side B C of A B C and E is the mid-point of B Ddot If O is the mid-point of A E , prove that a r( B O E)=1/8a r( A B C)

D is the mid-point of side B C of \ A B C\ a n d\ E is the mid-point of B Ddot If O is the mid-point of A E , prove that a r\ (\ B O E)=1/8a r\ (\ A B C)

We have AC=XD,C is the mid point of AB and D is the mid point of XY, Using Euclid's axiom ,show that AB=XY