Which kind of triangle is shown?

Scalene triangle.

Step-by-step explanation:

We have been given an image of a triangle on coordinate plane and we are asked to determine the kind of our given triangle.

First, of all we will use distance formula to find the length of each side of our given triangle.  

Since all the sides of triangle has different side lengths, so our given triangle is a scalene triangle.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have