Sarah was mapping out the location of two historical sites in her hometown for a history project. One site was plotted at (–4, 7) and the other site was plotted at (3, 2) on the map. She needs to find the distance between the two sites. Each unit on the grid is one mile. Sarah drew lines to form a right triangle using these two points as two of the corners. Explain how Sarah can use the Pythagorean Theorem to find the distance between the two points so she can find the distance between the two historical sites.

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

step-by-step explanation:

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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