Advertisements
Advertisements
प्रश्न
Explain how this figure is a trapezium. Which of its two sides are parallel?
Advertisements
उत्तर
If a transversal line is intersecting two given lines such that the sum of the measures of the angles on the same side of transversal is 180º, then the given two lines will be parallel to each other.
Here, ∠NML + ∠MLK = 180°
Hence,NM || LK
As quadrilateral KLMN has a pair of parallel lines, therefore, it is a trapezium.
APPEARS IN
संबंधित प्रश्न
In `square`ABCD, side BC || side AD, side AB ≅ side DC If ∠A = 72° then find the measure of ∠B and ∠D.
Which of the following properties describe a trapezium?
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.
Every rhombus is a trapezium.
In trapezium HARE, EP and RP are bisectors of ∠E and ∠R respectively. Find ∠HAR and ∠EHA.
In a quadrilateral HOPE, PS and ES are bisectors of ∠P and ∠E respectively. Give reason.
ABCD is a trapezium such that AB || CD, ∠A : ∠D = 2 : 1, ∠B : ∠C = 7 : 5. Find the angles of the trapezium.
In the following figure, AB || DC and AD = BC. Find the value of x.
Construct a trapezium ABCD in which AB || DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.
Construct a trapezium ABCD where AB || CD, AD = BC = 3.2 cm, AB = 6.4 cm and CD = 9.6 cm. Measure ∠B and ∠A.
[Hint: Difference of two parallel sides gives an equilateral triangle.]
