Question

Hexagon HJKLMN is shown on the coordinate plane below: If hexagon IJKLMN is dilated by a scale factor of 2 from the origin to create hexagon YUKL'M'N"", what is the ordered pair of point N""?

a) (-0.4, -0.8)
b) (-0.8, -1.24)
c) (-2.4, -0.3)
d) (-1.5, -1.5)

Answer 1

To find the coordinates of point N" after a dilation by a scale factor of 2, multiply the original coordinates of point N by 2. For example if N is at (-0.8, -0.6), then N" would be at (-1.6, -1.2).

Step-by-step explanation:

To find the coordinates of point N" after hexagon IJKLMN is dilated by a scale factor of 2 from the origin, we can simply multiply the original coordinates of point N by 2. If the original point N is given as (x, y), the new point N" will have coordinates (2x, 2y). Assuming point N has the coordinates (-0.8, -0.6) (none are provided, so this is just an example), we would multiply each component by 2. Therefore, the new coordinates would be N" = (2 * -0.8, 2 * -0.6) = (-1.6, -1.2). The correct answer would then need to match one of the given options that are scaled by a factor of 2 from the origin.