Question

Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin.

Use the polygon tool to graph the triangle.

Answer 1

Since, the coordinates of the given triangle are (0,0), (4,-4) and (-4,-2)

In the dilation by the scale factor k with centered at origin,

`(x,y)\rightarrow (kx,ky)`

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,

New coordinates of the triangles are,

`(0,0)\rightarrow (2* 0, 2* 0)`

`(-4,4)\rightarrow (2* -4, 2* 4)`

`(-4,-2)\rightarrow (2* -4, 2* -2)`

Thus, the coordinates of new triangle are,

(0,0) ( -8, 8) and (-8,-4)