"Question 1 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. (i) (ii) (iii) (iv) (v) (vi)
Class 9 - Math - Areas of Parallelograms and Triangles Page 155"
Answers
Two figures are said to be on the same base and between the same parallels if they have a common base or side and the vertices opposite to the common base of each figure on a line parallel to the base.
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Solution:
In Figure (i) , ∆PDC and trapezium ABCD are lying on the same base PC and between the same parallels AB and DC.
In Figure (ii) it can be observed that parallelogram PQRS and trapezium MNRS have a common base RS but their vertices (opposite to the common base) P, Q of parallelogram and M , N of trapezium are not lying on the same line. Thus, they are not lying between the same parallels.
In figure (iii) ∆TRQ and parallelogram PQRS are lying on the same base RQ and between the same parallels are RQ and SP.
In figure (iv) it can be observed that parallelogram ABCD and ∆PQR are lying between the same parallels AC and BC but they do not have any common base.
In figure (v) parallelograms ABCD & APQD are lying on the same base and between the same parallel AD and BQ.
In figure (vi) it can be observed that parallelogram PBCS and PQRS are lying on the same base PS, but they do not lie between the same parallels. Similarly , parallelograms AWARD and PQRS are lying on the same base QR but they do not lie between the same parallels.
Hence, figures (i), (iii) & (v) lie on the same base and between the same parallels.
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Hope this will help you...
1)Base DC , parallels DC AND AB
2) Base QR , parallel QR AND PS.
3)base AD , parallel AD AND BQ.
THX