Explain how this figure is a trapezium. Which of its two sides are parallel?
Solution and Explanation
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 \(180\degree\), 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.
Top Questions on Kinds of Quadrilaterals
- Consider the following parallelograms. Find the values of the unknowns \(x, y, z\).
- CBSE Class VIII
- Mathematics
- Kinds of Quadrilaterals
- Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.
- CBSE Class VIII
- Mathematics
- Kinds of Quadrilaterals
- Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.
- CBSE Class VIII
- Mathematics
- Kinds of Quadrilaterals
- Find the measure of \(∠P\) and \(∠S\) if \(\bar {SP} || \bar{RQ}\) in Figure. (If you find \(m∠R\), is there more than one method to find \(m∠P\) ?)
- CBSE Class VIII
- Mathematics
- Kinds of Quadrilaterals
- Find \(m∠C \) in Figure if \(\bar {AB}|| \bar{DC}\)
- CBSE Class VIII
- Mathematics
- Kinds of Quadrilaterals
Questions Asked in CBSE Class VIII exam
- If wheat is sown in the kharif season, what would happen? Discuss.
- CBSE Class VIII
- Basic Practices of Crop Production
Fill in the blanks using the correct form of the verbs in brackets.
My little sister is very naughty. When she ____ (come) back from school yesterday, she had _____(tear) her dress. We _____(ask) her how it had _____(happen). She ______(say) she _____ _____ (have, quarrel) with a boy. She _____ _____ (have, beat) him in a race and he _____ ____ (have, try) to push her. She _____ ____ (have, tell) the teacher and so he _____ _____ (have, chase) her, and she _____ _____ (have, fall) down and _____ _____ (have, tear) her dress.
- CBSE Class VIII
- The Best Christmas Present in the world
- In the tsunami 150,000 people died. How many animals died?
- CBSE Class VIII
- The Tsunami
- When he felt the earthquake, do you think Ignesious immediately worried about a tsunami? Give reasons for your answer. Which sentence in the text tells you that the Ignesious family did not have any time to discuss and plan their course of action after the tsunami struck?
- CBSE Class VIII
- The Tsunami
- Subtract 4p2q – 3pq + 5pq2 – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq2 + 5p2q
- CBSE Class VIII
- Addition and Subtraction of Algebraic Expressions