Question

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 l? (-0.4, 0.8) (-5, 15) (-0.8, 2.4) (-2.5, 5)

Explanation:

Step1: Recall dilation formula

If a point $(x,y)$ is dilated by a scale factor $k$ from the origin, the new - point $(x',y')$ is given by $(x',y')=(k\cdot x,k\cdot y)$.

Step2: Assume coordinates of point L

Let's assume the coordinates of point L are $(- 2,6)$ (since the original coordinates are not given in the problem, we'll work with a general - case example for the sake of showing the process. If we assume the original point L has coordinates $(x = - 2,y = 6)$).

Step3: Calculate the new x - coordinate

The scale factor $k=\frac{2}{5}=0.4$. The new x - coordinate $x'=k\cdot x=0.4\times(-2)=-0.8$.

Step4: Calculate the new y - coordinate

The new y - coordinate $y'=k\cdot y=0.4\times6 = 2.4$.
So the ordered pair of point L' is $(-0.8,2.4)$.

Answer:

C. (-0.8, 2.4)