Question

question 9 (multiple choice worth 1 points) hexagon ijklmn is shown on the coordinate plane below: if hexagon ijklmn is dilated by a scale factor of 2/5 from the origin to create hexagon ijklmn, what is the ordered - pair of point n? (-0.4,0.8) (-0.8,2.4) (-2.4,0.8) (-1.5,5)

Explanation:

Step1: Identify original coordinates of N

Assume original coordinates of N are \((x,y)\). From the graph (not shown fully here but conceptually), when dilating a point \((x,y)\) by a scale - factor \(k\) from the origin, the new coordinates \((x',y')\) are given by \(x'=k\times x\) and \(y'=k\times y\). Let's assume we can identify from the graph that the original coordinates of \(N\) are \((- 2,6)\) (this is an assumption as the full - scale graph details are not completely visible).

Step2: Calculate new \(x\) - coordinate

The scale factor \(k = \frac{2}{5}\). The new \(x\) - coordinate \(x'=k\times x=\frac{2}{5}\times(-2)=-\frac{4}{5}=-0.8\).

Step3: Calculate new \(y\) - coordinate

The new \(y\) - coordinate \(y'=k\times y=\frac{2}{5}\times6=\frac{12}{5}=2.4\).

Answer:

(-0.8, 2.4)