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
All squares are trapeziums.
In an Isosceles-trapezium, show that the opposite angles are supplementary.
Which of the following figures satisfy the following property?
- Only one pair of sides are parallel.
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.
All angles of a trapezium are equal.
Every trapezium is a parallelogram.
Of the four quadrilaterals-square, rectangle, rhombus and trapezium-one is somewhat different from the others because of its design. Find it and give justification.
In a quadrilateral HOPE, PS and ES are bisectors of ∠P and ∠E respectively. Give reason.
Construct a trapezium RISK in which RI || KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°.
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.]
