1.

A farmer has a field in the shape of trapezium, whose map with scale 1 cm = 20 m, is given below :The field is divided into four parts by joining the opposite vertices.1. The two triangular regions AOB and COD are(a) Similar by AA criterion(b) Similar by SAS criterion(c) Similar by RHS criterion(d) Not similar2. The ratio of the area of the ΔAOB to the area of ΔCOD, is(a) 4 : 1(b) 1 : 4(c) 1 : 2(d) 2 : 13. If the ratio of the perimeter of ΔAOB to the perimeter of ΔCOD would have been 1 : 4, then(a) AB = 2 CD(b) AB = 4 CD(c) CD = 2 AB(d) CD = 4 AB4. If in Δs AOB and BOC, \(\frac{AO}{BC}=\frac{AD}{BO}=\frac{OD}{OC},\) then(a) ΔAOD ~ ΔBOC(b) ΔAOD ~ ΔBCO(c) ΔADO ~ ΔBCO(d) ΔODA ~ ΔOBC5. If the ratio of areas of two similar triangles AOB and COD is 1 : 4, then which of the following statements is true ?(a) The ratio of their perimeters is 3 : 4.(b) The corresponding altitudes have a ratio 1 : 2.(c) The medians have a ratio 1 : 4.(d) The angle bisectors have a ratio 1 : 16.

Answer»

Correct answer is

1. (b) Similar by SAS criterion

2. (b) 1 : 4

3. (d) CD = 4 AB

4. (b) ΔAOD ~ ΔBCO

5. (c) The medians have a ratio 1 : 4.



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