Advertisements
Advertisements
प्रश्न
Given: Parallelogram ABCD in which diagonals AC and BD intersect at M.
Prove: M is the mid-point of LN.
Advertisements
उत्तर

Proof: Diagonals of //gm bisect each other.
MD = MB
Also ∠ADB = ∠DBN (Alternate ∠s)
& ∠DML = ∠BMN (Vert. opp. ∠s)
∆DML = ∆BMN
LM = MN
M is mid-point of LN.
Hence proved.
APPEARS IN
संबंधित प्रश्न
Name the quadrilaterals whose diagonals bisect each other
Ratio of two adjacent sides of a parallelogram is 3 : 4, and its perimeter is 112 cm. Find the length of its each side.
Ratio of consecutive angles of a quadrilateral is 1 : 2 : 3 : 4. Find the measure of its each angle. Write, with reason, what type of a quadrilateral it is.
Construct a parallelogram ABCD such that l(BC) = 7 cm, m∠ABC = 40° , l(AB) = 3 cm.
In the given figure, AB || EC, AB = AC and AE bisects ∠DAC. Prove that:

- ∠EAC = ∠ACB
- ABCE is a parallelogram.
Which of the following is a property of a parallelogram?
If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, then the ratio of these angles is ______.
If opposite angles of a quadrilateral are equal, it must be a parallelogram.
In parallelogram LOST, SN ⊥ OL and SM ⊥ LT. Find ∠STM, ∠SON and ∠NSM.

Find the values of x and y in the following parallelogram.

