the figure below is dilated by a factor of 2 centered at the origin. plot the resulting image. click twice…

the figure below is dilated by a factor of 2 centered at the origin. plot the resulting image. click twice to plot a segment. click a segment to delete it.

the figure below is dilated by a factor of 2 centered at the origin. plot the resulting image. click twice to plot a segment. click a segment to delete it.

Answer

Explanation:

Step1: Identify original coordinates

The coordinates of points are (G(-4, - 1)), (H(3,-1)), (I(1,3)).

Step2: Apply dilation formula

For a dilation centered at the origin with a scale - factor (k = 2), the formula to find the new coordinates ((x',y')) of a point ((x,y)) is (x'=k\times x) and (y'=k\times y). For point (G(-4,-1)): (x_G'=2\times(-4)=-8), (y_G'=2\times(-1)=-2). For point (H(3,-1)): (x_H'=2\times3 = 6), (y_H'=2\times(-1)=-2). For point (I(1,3)): (x_I'=2\times1 = 2), (y_I'=2\times3=6).

Step3: Plot new points

Plot the points (G'(-8,-2)), (H'(6,-2)), (I'(2,6)) and connect them to form the dilated triangle.

Answer:

The new points are (G'(-8,-2)), (H'(6,-2)), (I'(2,6)) which should be plotted on the coordinate - plane and connected to form the dilated figure.