Aparallelogram has coordinates a(1, 1), b(5, 4), c(7, 1), and d(3, -2). what are the coordinates of parallelogram a′b′c′d′ after a 180° rotation about the origin and a translation 5 units to the right and 1 unit down?

Step-by-step explanation:

The given parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2).

The rotation of about the origin  has the mapping;

This implies that;

A translation of  5 units to the right and 1 unit down has the mapping;

We apply this to the resulting coordinates to obtain;

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

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