Question

PLS HELP! Graph the image of this figure after a dilation with a scale factor of 3 centered at (−7, −6) .

Use the polygon tool to graph the dilated figure.

Answer 1

heres the correct answer

Explanation:

Answer 2

From the given figure:

Labelled the triangle as A, B and C.

Coordinates of triangle are:

A(-3, -2) , B(-7, -3) and C(-4, -5)

The rule of dilation with scale factor k = 3 and centered at (-7, -6) is:

`(x, y) \rightarrow (3(x+7)-7, 3(y+6)-6)`

or

`(x, y) \rightarrow (3x + 14, 3y+12)`

Now, find the dilated image of the given figure:

`A(-3, -2) \rightarrow (3(-3)+ 14, 3(-2)+12) =A'(5, 6)`

`B(-7, -3) \rightarrow (3(-7)+ 14, 3(-3)+12) =B'(-7, 3)`

`C(-4, -5) \rightarrow (3(-4)+ 14, 3(-5)+12) =C'(2, -3)`

You can see the graph of the dilated figure as shown below.