Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P′Q′R′ has vertices P′(1, 0), Q′(0, −1), and R′(−2, −1). Plot triangles PQR and P′Q′R′ on your own coordinate grid. Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer

Scale factor is .

Step-by-step explanation:

Given the coordinates of as:

And the coordinates of as:

To find:

The scaling factor of the dilation to transform the to .

Solution:

First of all, let us find the distance between the vertices i.e. the sides of the triangle.

Distance formula:

Where are the coordinates of two points between which the distance is to be calculated.

Now, let us find the sides of the :

We can clearly see that, the sides of are four times the corresponding sides of .

Therefore, the scaling factor is .

Please refer to the attache image in the answer area.

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step-by-step explanation: