Find the area of
(-2, 6), (-5, 2), (1, 3)

(-5, 2), (1, 3), (-3, -2)

(-3, -2), (1, 3), (4, -3)

(1, 3), (4, -3), (5, 3)

Step-by-step explanation:

For a set of points (x1, y1), (x2, y2), (x3, y3), the area can be found as ...

  Area = (1/2)|x1(y2-y3) +x2(y3-y1) +x3(y1-y2)|

The four areas are ...

  Area1 = (1/2)|-2(2-3) -5(3-6) +1(6-2)| = |2+15+4|/2 = 10.5

  Area2 = (1/2)|-5(3+2) +1(-2-2) -3(2-3)| = |-25-4+3|/2 = 13

  Area3 = (1/2)|-3(3+3) +1(-3+2) +4(-2-3)| = |-18-1-20|/2 = 19.5

  Area4 = (1/2)|1(-3-3) +4(3-3) +5(3+3)| = |-6+0+30|/2 = 12

_____

Confirmed by a geometry program (see attached).

answer: 590

step-by-step explanation:

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