问题1.以下哪些附图位于相同的基础上并且位于相同的相似点之间。在这种情况下,请写出公共底线和两个平行线:
解决方案:
(一世)
ΔPAB and trapezium ABCD are on the same base AB and between the same parallels AB and DC.
Same base = AB
Parallels = AB || DC
(ii)
Parallelogram ABCD and APQD are on the same base AD and between the same parallels AD and BQ.
Same base = AD
Parallels = AD || BQ
(iii)
Parallelogram ABCD and ΔPQR are between the same parallels AD and BC but they are not on the same base.
(iv)
ΔQRT and parallelogram PQRS are on the same base QR and between the same parallels QR and PS.
Same base = QR
Parallels = QR || PS
(v)
Parallelograms PQRS and trapezium SMNR are on the same base but not between same parallels.
(六)
Parallelograms PQRS, AQRD, BCQR are between the same parallels. Also, parallelograms PQRS, BPSC, APSD are between the same parallels.