Home
Class 9
MATHS
In Figure, A B C D isa trapezium in whic...

In Figure, `A B C D` isa trapezium in which side `A B` is a parallel to side `D C` and `E` is the mid-point of side `A Ddot` If `F` is a point on the side `B C` such that the segment `E F` is parallel to side `D C` . Prove that `F` is the mid point of `B C` and `E F=1/2(A B+D C)dot`

Promotional Banner

Similar Questions

Explore conceptually related problems

In Figure, A B C D isa trapezium in which side A B is a parallel to side D C and E is the mid-point of side A D . If F is a point on the side B C such that the segment E F is parallel to side D C . Prove that F is the mid point of B C and E F=1/2(A B+D C) .

In Figure,ABCD isa trapezium in which side AB is a parallel to side DC and E is the mid- point of side AD. If F is a point on the side BC such that the segment EF is paralle side DC. Prove that F is the mid point of BC and EF=(1)/(2)(AB+DC)

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

A B C D is a parallelogram and E is the mid-point of B C ,\ D E\ a n d\ A B when produced meet at F . Then A F=

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)

In Figure, A B C D is a parallelogram. E and F are the mid-points of the sides A B and C D respectively. Prove that the line segments A F and C E triset (divide into three equal parts) the diagonal B Ddot

If D is the mid-point of the side B C of a triangle A B C , prove that vec A B+ vec A C=2 vec A Ddot

In /_\A B C ,D is the mid-point of BC and ED is the bisector of the /_ADB and EF is drawn parallel to B C cutting A C in F . Prove that /_E D F is a right angle.

Let A B C D be a parallelogram of area 124c m^2dot If E and F are the mid-points of sides A B and C D respectively, then find the area of parallelogram A E F Ddot

In Figure, A B C D is a parallelogram. E\ a n d\ F are the mid-points of the sides A B\ a n d\ C D respectively. Prove that the line segments A F\ a n d\ C E trisect (divide into three equal parts) the diagonal B D .