2024 UPDATED!!! When the coordinates (1, 1), (7, 3), (8, 0), and (2, −2) are joined, which shape is formed?

THIS USER ASKED 👇

When the coordinates (1, 1), (7, 3), (8, 0), and (2, −2) are joined, which shape is formed?

A rectangle states that a parallelogram has all its interior angles at right angles ie, 90 degrees and opposite sides are equal.

In view of the coordinates

A (1, 1), B (7, 3), C (8, 0) and D (2, -2)

Using a Slope Formula:

$text {Slope} = frac {y_2-y_1} {x_2-x_1}$

Calculate the slope of each pair:

For A (1, 1) and B (7, 3)

By definition of slope;

$text {Fána AB} = frac {3-1} {7-1} = frac {2} {6} = frac {1} {3}$

The same,

For B (7, 3) and C (8, 0)

$text {Fána BC} = frac {0-3} {8-7} = - frac {3} {1} = -3$

For C (8, 0) and D (2, -2)

$text {Slope CD} = frac {-2-0} {2-8} = frac {-2} {- 6} = frac {1} {3}$

For D (2, -2) and A (1,1)

$text {Fána DA} = frac {1 - (- 2)} {1-2} = - frac {3} {1} = -3$

you can see:

Slope AB = Slope Slope of the CD

and

Slope BC = Slope DA

As well as that;

text {Slope AB} times text {Slope BC} = -1

Similarly, the slope product of each pair of side rows is perpendicular (ie 90 degrees).

Then by definition a Rectangle;

when the coordinates (1, 1), (7, 3), (8, 0), and (2, −2) are then joined, the rectangle shape is created.