Question

K12: Graph the image of this triangle after a dilation with a scale factor of 3 centered at the origin.

Use the polygon tool to graph the triangle.

Answer 1

The points after Dilation are (0,0), (9,-3), and (9,9).

Explanation:

The given points are A(0,0), B(3,-1), and C(3,3).

The scale factor is 3.

`D_(new)`(
`p_(x) , p_(y)`) = scale factor × (
`p_(x) , p_(y)`) .

If the triangle starts form the origin (0,0) retains the same after the dilation.

`D_(Anew)(p_(x) , p_(y))`= (0,0).

For point B(-1,3),

`D_(Bnew)(p_(x) , p_(y))` = 3 × (3,-1).

`D_(Bnew)(p_(x) , p_(y))` = (9,-3).

For Point C(3,3),

`D_(Cnew)(p_(x) , p_(y))` = 3 × ( 3,3).

`D_(Cnew)(p_(x) , p_(y))` = ( 9,9).

Refer the graph for dilated triangle.