Home
Class 9
MATHS
Which of the following figures lie on t...

Which of the following figures lie on the same base and between the same parallels.In such a case, write the common base and the two parallels.

Text Solution

Verified by Experts

Yes, Figure (i) lies on the same base and between the same set of parallel lines.
2)It can be observed that trapezium `ABCD` and `triangle PCD` have a common base `CD `and these are lying between the same set of parallel lines `AB` and `CD`.
No, Figure (ii) does not satisfy the condition of having a common base and lying between the same set of parallel lines.
It can be observed that parallelogram `PQRS` and trapezium `MNRS` have a common base `RS`. However, their vertices, (i.e., opposite to the common base) P, Q of parallelogram and M, N of trapezium do not lie on the same line.
Hence, parallelogram `PQRS` and trapezium `MNRS` do not lie between the same set of parallel lines.
Yes, Figure (iii) lies on the same base and between the same set of parallel lines.
It can be observed that parallelogram `PQRS` and `triangle QTR` have a common base `QR` and they are lying between the same set of parallel lines `PS` and `QR`.
iv)No, Figure (iv) does not satisfy the condition of having a common base and lying between the same set of parallel lines.
It can be observed that parallelogram `ABCD` and `triangle PQR` are lying between the same set of parallel lines `AD` and `BC`. However, these do not have any common base.
Yes, Figure (v) lies on the same base and between the same set of parallel lines.
It can be observed that parallelogram `ABCD` and parallelogram `APQD` have a common base `AD`and these are lying between the same set of parallel lines `AD` and `BQ`
No, Figure (vi) does not satisfy the condition of having a common base and lying between the same set of parallel lines.
It can be observed that parallelogram `PBCS` and `PQRS` are lying on the same base `PS`. However, these do not lie between the same set of parallel lines.
Note: Any two parallelograms in the given figure will not lie between same parallel lines..
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    NCERT|Exercise EXERCISE 9.4|8 Videos
  • CIRCLES

    NCERT|Exercise EXERCISE 10.2|2 Videos

Similar Questions

Explore conceptually related problems

Which of the following figure lie in the same base and between the same parallels. In such a case, write the common base and the two parallels.

Which of the following figures lie on the same base and between the same parallels.In such a case; write the common base and two parallels:

Knowledge Check

  • In which of the following figures, you find two polygons on the same base and between the same parallels?

    A
    B
    C
    D
  • Similar Questions

    Explore conceptually related problems

    Figures on the same base and between the same parallels

    Out of the following given figures, which are on the same base but not between the same parallels?

    Triangles on the same base and between the same parallel are equal in area.

    Prove that parallelograms on the same base and between the same parallels have the same area.

    A |gm and a rectangle on the same base and between the same parallels are equal in area

    Parallelograms on the same base and between the same parallel are equal in area.

    If two triangles are on the same base and between the same parallels. Then find the ratio of area of the two triangles.