Question

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

Answer 1

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

Step-by-step 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.