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:

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.

Answer 2

Dilation involves changing the size of a shape.

See attachment for the graph of the image

From the figure, the vertices of the triangle are:

$\mathbf{A = (0,0)}$

$\mathbf{B = (2,-4)}$

$\mathbf{C = (-4,-4)}$

The scale factor (k) is given as:

$\mathbf{k = 2}$

The coordinate of the image of the triangle is calculated using:

$\mathbf{(x,y) = 2(x,y)}$

So, we have:

$\mathbf{A' = 2(0,0)}$

$\mathbf{A' = (0,0)}$

$\mathbf{B' = 2(2,-4)}$

$\mathbf{B' = (4,-8)}$

$\mathbf{C' = 2(-4,-4)}$

$\mathbf{C' = (-8,-8)}$

See attachment for the image of the dilation.

Read more about dilation at:

https://brainly.com/question/13176891