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

Answer:

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

Step-by-step explanation:

(0 * 0, 0*0) = (0,0)

(-4*2,-4*2) = (-8,-8)

(2*2,-4*2) = (4,-8)

Answer 2

Answer:

The vertices of image are A'(0,0), B'(4,-8) and C'(-8,-8).

Step-by-step explanation:

From the given figure it noticed that the vertices of triangle are A(0,0), B(2,-4) and C(-4,-4).

The dilation with a scale factor of k centered at the origin is defined as

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

So, dilation with a scale factor of 2 centered at the origin is defined as

$(x,y)\rightarrow(2x,2y)$

The vertices of image are

$A(0,0)\rightarrow A'(0,0)$

$B(2,-4)\rightarrow B'(4,-8)$

$C(-4,-4)\rightarrow C'(-8,-8)$

Therefore the vertices of image are A'(0,0), B'(4,-8) and C'(-8,-8). The graph of image and preimage are shown below.