Question

Please help giving out max points!!

Question: Graph the polygon and its image after a dilation with the given scale factor.

Answer 1

D' = (-3, 0)

G' = (0, 3)

F' = (3, -3)

Explanation:

Given vertices of the polygon:

• D = (-2, 0)
• G = (0, 2)
• F = (2, -2)

To dilate a figure by a given scale factor, multiply the coordinates of the vertices of the figure by the scale factor:

• D' = (-2 × 1.5, 0 × 1.5) = (-3, 0)
• G' = (0 × 1.5, 2 × 1.5) = (0, 3)
• F' = (2 × 1.5, -2 × 1.5) = (3, -3)

Therefore, the vertices of the image after dilation are:

• D' = (-3, 0)
• G' = (0, 3)
• F' = (3, -3)

Answer 2

See attached

Given

• Triangle DGF, with vertices D(- 2, 0), G(2, 0), F(2, - 2),
• Scale factor r = 1.5.

Solution

Triangle DGF is plotted, blue figure.

Find the coordinates of the image using the rule:

• (x, y) = (1.5x, 1.5y)

• D' = (1.5*(-2), 1.5*0) = (-3, 0),
• G' = (1.5*0, 1.5*2) = (0, 3),
• F' = (1.5*2, 1.5*(-2)) = (3, - 3).

The points added to same plot, red figure.