Question

Polygon ABCD is dilated by a certain scale factor with the origin as the center of dilation to form the image A′B′C′D′. The length of is 5.6 units, and the length of is 2.24 units. The value of the scale factor is . Write your answer as a decimal number to two decimal places.

Answer 1

Th
e value that is being asked for in the question is 0.4. If the polygon is dilated into 2.24 units and its length would be 5.6 units originally, then the value of the scale factor should be .4. I got this through multiplying 5.6 units to each of the choices below, and the one that yielded 2.24 units exact is 0.4

Answer 2

1. from ABCD to A'B'C'D' : y=Cx; y would be A'B' and x would be AB
2. 2.24 = C*5.6
3. The unit of the scale factor from ABCD to A'B'C'D' is 0.4
4. from A'B'C'D' to ABCD : y=Cx; y would be AB and x would be A'B'
5. 5.6= C*2.24
6. The unit of the scale factor is from A'B'C'D' to ABCD is 2.5.

On Plato