Question

The diagram shows two nested triangles that share a vertex.Find a center and a scale factor for a dilation that would move the larger triangle to the triangle to the smaller triangle.

Answer 1

Transformation that changes the size of a shape is referred to as dilation.

• The scale factor that moves the large triangle to the small one is 1/5
• The center of dilation is: (-1,1)

The center of dilation

From the diagram (see attachment), the triangles share a common vertex at (-1,1)

This means that, the center of dilation is (-1,1)

The scale factor of dilation

To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.

From the attached image:

$\mathbf{Base\ of\ small\ triangle = 1}$

$\mathbf{Base\ of\ large\ triangle = 5}$

So, the scale factor (k) from large to small is:

$\mathbf{k = \frac{Base\ of\ small\ triangle}{Base\ of\ large\ triangle} }$

$\mathbf{k = \frac{1}{5} }$

Read more about dilation at:

brainly.com/question/13176891