The dashed line triangle is a dilation image of the solid lined triangle

factor of dilation=

Step-by-step explanation:

We have been given a diagram in which the dashed line triangle is a dilation image of the solid lined triangle.

Since we know that dilation of a figure changes all the sides of triangle by the same factor.    

To find the factor of dilation we will find the length of two corresponding sides of both triangles using distance formula.

Now let us substitute the given coordinates of one side of dashed line triangle.

Now let us find the length of corresponding side of solid lined triangle.

Upon comparing side lengths of both triangles we will get,

We can see that the length of dashed line is 1/3 the length of solid line, therefore, the factor of dilation is 1/3.

answer: 590

step-by-step explanation: