Advertisements
Advertisements
प्रश्न
In parallelogram ABCD, E is the mid-point of AD and F is the mid-point of BC. Prove that BFDE is a parallelogram.
Advertisements
उत्तर
Given: Parallelogram ABCD in which E and F are mid-points of AD and BC respectively.
To Prove: BFDE is a Parallelogram.
Proof: E is the mid-point of AD. (Given)
DE = `1/2`
Also, F is mid-point of BC (Given)
BF = `1/2`
But AD = BC (opp. sides of parallelogram)
BF = DE
Again AD || BC
⇒ DE || BF
Now DE || BF and DE = BF
Hence BFDE is a parallelogram.
APPEARS IN
संबंधित प्रश्न
The following figure GUNS is a parallelogram. Find x and y. (Lengths are in cm)
In the given figure, `square`PQRS and `square`ABCR are two parallelograms. If ∠P = 110° then find the measures of all angles of `square`ABCR.
ABCD is a parallelogram. What kind of quadrilateral is it if: AC is perpendicular to BD but is not equal to it?
In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC ⊥ BD, then ∠BEC = ______.
If opposite angles of a quadrilateral are equal, it must be a parallelogram.
Find the values of x and y in the following parallelogram.
Two angles of a quadrilateral are each of measure 75° and the other two angles are equal. What is the measure of these two angles? Name the possible figures so formed.
The angle between the two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 45°. Find the angles of the parallelogram.
In the following figure, FD || BC || AE and AC || ED. Find the value of x.
Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.
