Mathematics: Please help, easy geometry work

The correct answer is a translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin (p.s. i got this right on my test)...

Please help, easy geometry work - id13975299, cicilee49

Ответ:

celeste961

20.08.2021

Mathematics

Step-by-step explanation:

Find the slope of AB

: The slope is

$\frac{7 - 0}{3 - 8} = - \frac{7}{5}$

Find the y intercept by plugging coordinates in

$0 = - \frac{ 7}{5} (8) + b$

$0 = \frac{ - 56}{5} + b$

$b = \frac{56}{5}$

Find CD: We know that AB and CD are parallel to each other so this means they both have the same slope.

We can find the next point by subtracting 7 from the y coordinate of Point D, Adding 5 to the x coordinate of Point D.

Point C=(10,-2).

Find the y intercept by a plugging coordinates in

$5 = - \frac{7}{5} (5) + b$

5 = - 7 + b

12 = b

So the Equation of Line CD is

$- \frac{7}{5} x + 12$

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Please help, easy geometry work

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